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Hirzebruch, Friedrich

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Author ID: hirzebruch.friedrich Recent zbMATH articles by "Hirzebruch, Friedrich"
Published as: Hirzebruch, F.; Hirzebruch, Friedrich; Hirzebruch, Friedrich E. P.; Hirzebruch, Friedrich Ernst Peter
External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor
Awards: Wolf Prize (1988)
Documents Indexed: 133 Publications since 1951, including 34 Books
Biographic References: 27 Publications
all top 5

Serials

7 Mathematische Annalen
5 Notices of the American Mathematical Society
3 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
3 L’Enseignement Mathématique. 2e Série
2 Russian Mathematical Surveys
2 American Journal of Mathematics
2 Inventiones Mathematicae
2 Topology
2 Proceedings of the National Academy of Sciences of the United States of America
2 The Asian Journal of Mathematics
2 Aspects of Mathematics
2 Ergebnisse der Mathematik und ihrer Grenzgebiete
2 Graduate Texts in Mathematics
2 Grundlehren der Mathematischen Wissenschaften
2 Lecture Notes in Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 The Mathematical Intelligencer
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bayerische Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse. Sitzungsberichte
1 Bulletin de la Société Mathématique de France
1 Gazette des Mathématiciens
1 Geometriae Dedicata
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
1 Sūgaku
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Nova Acta Leopoldina. Neue Folge
1 St. Petersburg Mathematical Journal
1 European Mathematical Society Newsletter
1 Annals of Mathematics. Second Series
1 Proceedings of the Cambridge Philosophical Society
1 Bulletin of the American Mathematical Society
1 Pure and Applied Mathematics Quarterly
1 Annals of Mathematics Studies
1 Colloques Internationaux du Centre National de la Recherche Scientifique
1 Lecture Notes in Pure and Applied Mathematics
1 Monographies de l’Enseignement Mathématique
1 Proceedings of the Steklov Institute of Mathematics
1 SMF Journée Annuelle
1 NATO Science Series II: Mathematics, Physics and Chemistry
1 Münster Journal of Mathematics
1 Journal of Singularities
1 Classics in Mathematics
1 Springer Collected Works in Mathematics
1 Springer-Lehrbuch

Publications by Year

Citations contained in zbMATH Open

100 Publications have been cited 2,739 times in 2,169 Documents Cited by Year
Topological methods in algebraic geometry. Zbl 0138.42001
Hirzebruch, Friedrich
429
1966
Characteristic classes and homogeneous spaces. I-III. Zbl 0097.36401
Borel, Armand; Hirzebruch, Friedrich
283
1960
Vector bundles and homogeneous spaces. Zbl 0108.17705
Atiyah, Michael F.; Hirzebruch, Friedrich
133
1961
Hilbert modular surfaces. Zbl 0285.14007
Hirzebruch, Friedrich E. P.
130
1973
Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus. Zbl 0332.14009
Hirzebruch, Friedrich; Zagier, Don
113
1976
The Atiyah-Singer theorem and elementary number theory. Zbl 0288.10001
Hirzebruch, Friedrich; Zagier, Don
96
1974
Manifolds and modular forms. Transl. by Peter S. Landweber. Zbl 0767.57014
Hirzebruch, Friedrich; Berger, Thomas; Jung, Rainer
92
1992
Topological methods in algebraic geometry. Translation and appendix one by R.L.E. Schwarzenberger. Appendix two by A. Borel. 2nd, corr. printing of the 3rd ed. Zbl 0376.14001
Hirzebruch, Friedrich
68
1978
Neue topologische Methoden in der algebraischen Geometrie. (New topological methods in algebraic geometry). 2. erg. Aufl. Zbl 0101.38301
Hirzebruch, Friedrich
65
1962
Analytic cycles on complex manifolds. Zbl 0108.36401
Atiyah, Michael F.; Hirzebruch, Friedrich
63
1962
Über vierdimensionale Riemannsche Flächen mehrdeutiger analytischer Funktionen von zwei komplexen Veränderlichen. (On four-dimensional Riemann surfaces of many-valued analytic functions of two complex variables). Zbl 0093.27605
Hirzebruch, Friedrich
60
1953
Differentiable manifolds and quadratic forms. Appendix II by W. Scharlau. Zbl 0226.57001
Hirzebruch, Friedrich; Neumann, W. D.; Koh, S. S.
58
1971
Riemann-Roch theorems for differentiable manifolds. Zbl 0142.40901
Atiyah, Michael F.; Hirzebruch, Friedrich
58
1959
Spin-manifolds and group actions. Zbl 0193.52401
Atiyah, Michael F.; Hirzebruch, Friedrich
54
1970
New topological methods in algebraic geometry. Zbl 0070.16302
Hirzebruch, Friedrich
54
1956
Topological methods in algebraic geometry. Translation from the German and appendix one by R. L. E. Schwarzenberger. Appendix two by A. Borel. Reprint of the 2nd, corr. print. of the 3rd ed. 1978. Zbl 0843.14009
Hirzebruch, Friedrich
47
1995
On the Euler number of an orbifold. Zbl 0679.14006
Hirzebruch, Friedrich; Höfer, Thomas
47
1990
Arrangements of lines and algebraic surfaces. Zbl 0527.14033
Hirzebruch, Friedrich
45
1983
Felder von Flächenelementen in 4-dimensionalen Mannigfaltigkeiten. (Plane element fields in 4-dimensional manifolds). Zbl 0088.39403
Hirzebruch, Friedrich; Hopf, Heinz
45
1958
Der Satz von Riemann-Roch in Faisceau-theoretischer Formulierung; einige Anwendungen und offene Fragen. (The theorem of Riemann-Roch in Faisceau-theoretic formulation; some applications and open questions). Zbl 0074.36701
Hirzebruch, Friedrich
44
1956
On the index of a fibered manifold. Zbl 0083.17801
Chern, Shiing-Shen; Hirzebruch, Friedrich; Serre, Jean-Pierre
43
1957
Some problems on differentiable and complex manifolds. Zbl 0056.16803
Hirzebruch, Friedrich
41
1954
\(O(n)\)-manifolds, exotic spheres, and singularities. Zbl 0172.25304
Hirzebruch, Friedrich; Mayer, K. H.
35
1968
The signature theorem: Reminiscences and recreation. Zbl 0252.58009
Hirzebruch, Friedrich
32
1971
Elliptic genera, involutions, and homogeneous spin manifolds. Zbl 0712.57010
Hirzebruch, F.; Slodowy, P.
31
1990
On the complex projective spaces. Zbl 0090.38601
Hirzebruch, Friedrich; Kodaira, Kunihiko
31
1957
Über eine Klasse von einfach-zusammenhängenden komplexen Mannigfaltigkeiten. (On a class of simply connected complex manifolds). Zbl 0043.30302
Hirzebruch, Friedrich
30
1951
The Riemann-Roch theorem for analytic embeddings. Zbl 0108.36402
Atiyah, Michael F.; Hirzebruch, Friedrich
29
1962
The signature of ramified coverings. Zbl 0208.51802
Hirzebruch, Friedrich
28
1969
Hilbert modular surfaces and the classification of algebraic surfaces. Zbl 0296.14020
Hirzebruch, Friedrich; Van de Ven, A.
27
1974
Numbers. With an introduction by K. Lamotke. Transl. from the 2nd German ed. by H. L. S. Orde. Edited by J. H. Ewing. Zbl 0705.00001
Ebbinghaus, H.-D.; Hermes, H.; Hirzebruch, F.; Koecher, M.; Mainzer, K.; Neukirch, J.; Prestel, A.; Remmert, R.
25
1990
Cohomologie-Operationen und charakteristische Klassen. (Cohomology operations and characteristic classes). Zbl 0109.16002
Atiyah, Michael F.; Hirzebruch, Friedrich
24
1961
Automorphe Formen und der Satz von Riemann-Roch. (Automorphic forms and the theorem of Riemann-Roch). Zbl 0129.29801
Hirzebruch, Friedrich
24
1958
Classification of Hilbert modular surfaces. Zbl 0354.14011
Hirzebruch, Friedrich; Zagier, Don
23
1977
Einführung in die Funktionalanalysis. Zbl 0219.46001
Hirzebruch, Friedrich; Scharlau, W.
19
1971
Chern numbers of algebraic surfaces. Zbl 0504.14030
Hirzebruch, Friedrich
17
1984
Singularities of algebraic surfaces and characteristic numbers. Zbl 0601.14030
Hirzebruch, F.
16
1986
Geradenkonfigurationen und algebraische Flächen. (Configurations of lines and algebraic surfaces). Eine Veröffentlichung des Max-Planck-Instituts für Mathematik, Bonn. Zbl 0645.14016
Barthel, Gottfried; Hirzebruch, Friedrich; Höfer, Thomas
15
1987
The ring of Hilbert modular forms for real quadratic fields of small discriminant. Zbl 0369.10017
Hirzebruch, Friedrich
15
1977
On Steenrod’s reduced powers, the index of inertia and the Todd genus. Zbl 0051.14501
Hirzebruch, Friedrich
15
1953
Some theorems of non-immersion for differentiable manifolds. Zbl 0196.55903
Atiyah, Michael F.; Hirzebruch, Friedrich
14
1959
Elliptic genera of level \(N\) for complex manifolds. Zbl 0667.32009
Hirzebruch, Friedrich
13
1988
Arithmetic genera and the theorem of Riemann-Roch for algebraic varieties. Zbl 0055.38803
Hirzebruch, Friedrich
13
1954
Eulerian polynomials. Zbl 1255.11004
Hirzebruch, Friedrich
10
2008
Some examples of algebraic surfaces. Zbl 0487.14009
Hirzebruch, Friedrich
10
1982
The Hilbert modular group, resolution of the singularities at the cusps and related problems. Zbl 0232.10017
Hirzebruch, Friedrich
10
1971
Singularities and exotic spheres. Zbl 0213.47701
Hirzebruch, Friedrich
10
1968
Bott periodicity and the parallelizability of the spheres. Zbl 0108.35902
Atiyah, Michael F.; Hirzebruch, Friedrich
10
1961
Manifolds and modular forms. Zbl 0752.57013
Hirzebruch, F.
6
1992
Gesammelte Abhandlungen. Collected papers. Band I: 1951-1962. Band II: 1963-1987. Zbl 0627.01044
Hirzebruch, Friedrich
6
1987
Lectures on Hilbert modular surfaces. Notes by W. Hausmann and F. J. Koll. Zbl 0483.14009
Hirzebruch, Friedrich; van der Geer, Gerard
6
1981
Hilbert’s modular group of the field \(\mathbb{Q}(\sqrt 5)\) and the cubic diagonal surface of Clebsch and Klein. Zbl 0356.14010
Hirzebruch, Friedrich
6
1976
The Hilbert modular group and some algebraic surfaces. Zbl 0282.14010
Hirzebruch, Friedrich
6
1973
In memoriam Heinz Hopf. Zbl 0226.01013
Behnke, H.; Hirzebruch, Friedrich
6
1972
Involutionen auf Mannigfaltigkeiten. (Involutions on manifolds). Zbl 0177.26401
Hirzebruch, Friedrich
6
1968
Übertragung einiger Sätze aus der Theorie der algebraischen Flächen auf komplexe Mannigfaltigkeiten von zwei komplexen Dimensionen. (Transformation of some theorems from the theory of algebraic surfaces on complex manifolds of two complex dimensions). Zbl 0052.19802
Hirzebruch, Friedrich
6
1953
Die Hilbertsche Modulgruppe für \(Q(\sqrt5)\) und die kubische Diagonalfläche von Clebsch und Klein. Zbl 0335.14007
Hirzebruch, Friedrich
5
1976
Pontrjagin classes of rational homology manifolds and the signature of some affine hypersurfaces. Zbl 0217.49301
Hirzebruch, Friedrich
5
1971
Über Singularitäten komplexer Flächen. (On singularities of complex surfaces). Zbl 0165.24101
Hirzebruch, Friedrich
5
1966
A Riemann-Roch for differentiable manifolds. Zbl 0129.15406
Hirzebruch, Friedrich
5
1959
Algebraic surfaces with extreme Chern numbers (Report on the thesis of Th. Höfer, Bonn 1984). Zbl 0593.14023
Hirzebruch, Friedrich
4
1985
Modulflächen und Modulkurven zur symmetrischen Hilbertschen Modulgruppe. (Modular surfaces and modular curves for the symmetric Hilbert modular group). Zbl 0384.14011
Hirzebruch, Friedrich
4
1978
Überlagerungen der projektiven Ebene und Hilbertsche Modulflächen. Zbl 0382.14010
Hirzebruch, Friedrich
4
1978
Kurven auf den Hilbertschen Modulflächen und Klassenzahlrelationen. (Curves on the Hilbert modular surfaces and class number relations). Zbl 0301.14010
Hirzebruch, Friedrich
4
1974
L-Series, modular imbeddings, and signatures. Zbl 0245.10017
Hammond, W. F.; Hirzebruch, Friedrich
4
1973
The projective tangent bundles of a complex three-fold. Zbl 1187.14009
Hirzebruch, Friedrich
3
2005
On the Euler characteristic of manifolds with \(c_1=0\). A letter to V. Gritsenko. Zbl 0972.14014
Hirzebruch, Friedrich
3
2000
Zahlen. 3., verb. Aufl. Zbl 0753.00004
Ebbinghaus, Heinz-Dieter; Hermes, Hans; Hirzebruch, Friedrich; Koecher, Max; Mainzer, Klaus; Neukirch, Jürgen; Prestel, Alexander; Remmert, Reinhold; Lamotke, Klaus
3
1992
Prospects in mathematics. Zbl 0233.00003
Hirzebruch, Friedrich; Hörmander, Lars; Milnor, John; Serre, Jean-Pierre; Singer, I. M.
3
1971
Involutions and singularities. Zbl 0221.57024
Hirzebruch, Friedrich; Jänich, K.
3
1969
Charakteristische Klassen und Anwendungen. Zbl 0104.39801
Atiyah, Michael F.; Hirzebruch, Friedrich
3
1962
Über die quaternionalen projektiven Räume. (On the quaternionial projective spaces). Zbl 0057.15503
Hirzebruch, Friedrich
3
1954
Emmy Noether and topology. Zbl 0928.01012
Hirzebruch, Friedrich
2
1999
Numbers. With an introduction by Klaus Lamotke. Translated by H. L. S. Orde. Edited by John H. Ewing. Paperback ed. Zbl 0741.00003
Ebbinghaus, Heinz-Dieter; Hermes, Hans; Hirzebruch, Friedrich; Koecher, Max; Mainzer, Klaus; Neukirch, Jürgen; Prestel, Alexander; Remmert, Reinhold
2
1991
One century of mathematics. Publication in honour of the jubilee of the DMV. Zbl 0706.01002
Fischer, Gerd (ed.); Hirzebruch, Friedrich (ed.); Scharlau, Winfried (ed.); Törnig, Willi (ed.)
2
1990
Minimal Hilbert modular surfaces with \(p_g=3\) and \(K^2=2\). Zbl 0414.14023
Hirzebruch, Friedrich; Van de Ven, A.
2
1979
Topological methods in algebraic geometry. (Topologiceskie metody v algebraiceskoi geometrii.) Mit Appendizes von A. Borel und R. Schwarzenberger. Übersetzung aus dem Englischen von B. B. Venkov. Zbl 0266.14011
Hirzebruch, Friedrich
2
1973
The signature theorem for differentiable manifolds and some elementary number theory. Zbl 0387.57005
Hirzebruch, Friedrich
2
1972
The topology of normal singularities of an algebraic surface. Zbl 0126.16903
Hirzebruch, Friedrich
2
1964
Komplexe Mannigfaltigkeiten. (Complex manifolds). Zbl 0132.19704
Hirzebruch, Friedrich
2
1960
Collected papers. Vol. I: 1951–1962. Vol. II: 1963–1987. Reprint of the 1987 original. Zbl 1281.01012
Hirzebruch, Friedrich
1
2014
A report on my time in Switzerland in the years 1948–1950. Zbl 1209.01018
Hirzebruch, Friedrich
1
2010
On the concept of genus in topology and complex analysis. Zbl 1171.57300
Hirzebruch, Friedrich E. P.; Kreck, Matthias
1
2009
The history of the foundation of the Max-Planck-Institute for Mathematics. Zbl 1244.01033
Hirzebruch, Friedrich
1
2006
Nachruf auf Shiing-Shen Chern. Zbl 1156.01340
Hirzebruch, Friedrich; Simon, Udo
1
2006
Applications of algebraic geometry to coding theory, physics and computation. Proceedings of the NATO advanced research workshop, Eilat, Israel, February 25–March 1, 2001. Zbl 0971.00013
Ciliberto, Ciro (ed.); Hirzebruch, Friedrich (ed.); Miranda, Rick (ed.); Teicher, Mina (ed.)
1
2001
Wolf prize in mathematics. Vol. 2. Zbl 1030.01001
Chern, S. S. (ed.); Hirzebruch, F. (ed.)
1
2001
The Atiyah-Bott-Singer fixed point theorem and number theory. Zbl 1061.58022
Hirzebruch, F.
1
2000
Wolf prize in mathematics. Vol. 1. Zbl 0972.01032
Chern, S. S. (ed.); Hirzebruch, F. (ed.)
1
2000
Kunihiko Kodaira: Mathematician, friend, and teacher. Zbl 0908.01029
Hirzebruch, Friedrich
1
1998
Learning complex analysis in Münster-Paris, Zürich and Princeton from 1945 to 1953. Zbl 1024.01512
Hirzebruch, Friedrich
1
1997
German-Russian cooperation in mathematics. Zbl 0966.01503
Hirzebruch, Friedrich
1
1997
Centennial of the German Mathematical Society (Bremen, September 16th – 22nd 1990). Zbl 0850.01019
Hirzebruch, Friedrich
1
1991
Codierungstheorie und ihre Beziehung zu Geometrie und Zahlentheorie. (Coding theory and its relation to geometry and number theory). Zbl 0697.94010
Hirzebruch, Friedrich
1
1989
Zahlen. (Numbers). Zbl 0543.00001
Ebbinghaus, H.-D.; Hermes, H.; Hirzebruch, Friedrich; Koecher, M.; Mainzer, K.; Prestel, A.; Remmert, Reinhold; Lamotke, K. (ed.)
1
1983
The canonical map for certain Hilbert modular surfaces. Zbl 0457.14019
Hirzebruch, Friedrich
1
1980
Free involutions on manifolds and some elementary number theory. Zbl 0206.52404
Hirzebruch, Friedrich
1
1971
Elliptische Differentialoperatoren auf Mannigfaltigkeiten. Zbl 0181.10302
Hirzebruch, Friedrich
1
1968
Characteristic numbers of homogeneous domains. Zbl 0123.13805
Hirzebruch, Friedrich
1
1958
Garben- und Cohomologie-Theorie. (Theory of sheaves and cohomology theory). Zbl 0088.15201
Hirzebruch, Friedrich; Scheja, Günter
1
1957
Collected papers. Vol. I: 1951–1962. Vol. II: 1963–1987. Reprint of the 1987 original. Zbl 1281.01012
Hirzebruch, Friedrich
1
2014
A report on my time in Switzerland in the years 1948–1950. Zbl 1209.01018
Hirzebruch, Friedrich
1
2010
On the concept of genus in topology and complex analysis. Zbl 1171.57300
Hirzebruch, Friedrich E. P.; Kreck, Matthias
1
2009
Eulerian polynomials. Zbl 1255.11004
Hirzebruch, Friedrich
10
2008
The history of the foundation of the Max-Planck-Institute for Mathematics. Zbl 1244.01033
Hirzebruch, Friedrich
1
2006
Nachruf auf Shiing-Shen Chern. Zbl 1156.01340
Hirzebruch, Friedrich; Simon, Udo
1
2006
The projective tangent bundles of a complex three-fold. Zbl 1187.14009
Hirzebruch, Friedrich
3
2005
Applications of algebraic geometry to coding theory, physics and computation. Proceedings of the NATO advanced research workshop, Eilat, Israel, February 25–March 1, 2001. Zbl 0971.00013
Ciliberto, Ciro (ed.); Hirzebruch, Friedrich (ed.); Miranda, Rick (ed.); Teicher, Mina (ed.)
1
2001
Wolf prize in mathematics. Vol. 2. Zbl 1030.01001
Chern, S. S. (ed.); Hirzebruch, F. (ed.)
1
2001
On the Euler characteristic of manifolds with \(c_1=0\). A letter to V. Gritsenko. Zbl 0972.14014
Hirzebruch, Friedrich
3
2000
The Atiyah-Bott-Singer fixed point theorem and number theory. Zbl 1061.58022
Hirzebruch, F.
1
2000
Wolf prize in mathematics. Vol. 1. Zbl 0972.01032
Chern, S. S. (ed.); Hirzebruch, F. (ed.)
1
2000
Emmy Noether and topology. Zbl 0928.01012
Hirzebruch, Friedrich
2
1999
Kunihiko Kodaira: Mathematician, friend, and teacher. Zbl 0908.01029
Hirzebruch, Friedrich
1
1998
Learning complex analysis in Münster-Paris, Zürich and Princeton from 1945 to 1953. Zbl 1024.01512
Hirzebruch, Friedrich
1
1997
German-Russian cooperation in mathematics. Zbl 0966.01503
Hirzebruch, Friedrich
1
1997
Topological methods in algebraic geometry. Translation from the German and appendix one by R. L. E. Schwarzenberger. Appendix two by A. Borel. Reprint of the 2nd, corr. print. of the 3rd ed. 1978. Zbl 0843.14009
Hirzebruch, Friedrich
47
1995
Manifolds and modular forms. Transl. by Peter S. Landweber. Zbl 0767.57014
Hirzebruch, Friedrich; Berger, Thomas; Jung, Rainer
92
1992
Manifolds and modular forms. Zbl 0752.57013
Hirzebruch, F.
6
1992
Zahlen. 3., verb. Aufl. Zbl 0753.00004
Ebbinghaus, Heinz-Dieter; Hermes, Hans; Hirzebruch, Friedrich; Koecher, Max; Mainzer, Klaus; Neukirch, Jürgen; Prestel, Alexander; Remmert, Reinhold; Lamotke, Klaus
3
1992
Numbers. With an introduction by Klaus Lamotke. Translated by H. L. S. Orde. Edited by John H. Ewing. Paperback ed. Zbl 0741.00003
Ebbinghaus, Heinz-Dieter; Hermes, Hans; Hirzebruch, Friedrich; Koecher, Max; Mainzer, Klaus; Neukirch, Jürgen; Prestel, Alexander; Remmert, Reinhold
2
1991
Centennial of the German Mathematical Society (Bremen, September 16th – 22nd 1990). Zbl 0850.01019
Hirzebruch, Friedrich
1
1991
On the Euler number of an orbifold. Zbl 0679.14006
Hirzebruch, Friedrich; Höfer, Thomas
47
1990
Elliptic genera, involutions, and homogeneous spin manifolds. Zbl 0712.57010
Hirzebruch, F.; Slodowy, P.
31
1990
Numbers. With an introduction by K. Lamotke. Transl. from the 2nd German ed. by H. L. S. Orde. Edited by J. H. Ewing. Zbl 0705.00001
Ebbinghaus, H.-D.; Hermes, H.; Hirzebruch, F.; Koecher, M.; Mainzer, K.; Neukirch, J.; Prestel, A.; Remmert, R.
25
1990
One century of mathematics. Publication in honour of the jubilee of the DMV. Zbl 0706.01002
Fischer, Gerd (ed.); Hirzebruch, Friedrich (ed.); Scharlau, Winfried (ed.); Törnig, Willi (ed.)
2
1990
Codierungstheorie und ihre Beziehung zu Geometrie und Zahlentheorie. (Coding theory and its relation to geometry and number theory). Zbl 0697.94010
Hirzebruch, Friedrich
1
1989
Elliptic genera of level \(N\) for complex manifolds. Zbl 0667.32009
Hirzebruch, Friedrich
13
1988
Geradenkonfigurationen und algebraische Flächen. (Configurations of lines and algebraic surfaces). Eine Veröffentlichung des Max-Planck-Instituts für Mathematik, Bonn. Zbl 0645.14016
Barthel, Gottfried; Hirzebruch, Friedrich; Höfer, Thomas
15
1987
Gesammelte Abhandlungen. Collected papers. Band I: 1951-1962. Band II: 1963-1987. Zbl 0627.01044
Hirzebruch, Friedrich
6
1987
Singularities of algebraic surfaces and characteristic numbers. Zbl 0601.14030
Hirzebruch, F.
16
1986
Algebraic surfaces with extreme Chern numbers (Report on the thesis of Th. Höfer, Bonn 1984). Zbl 0593.14023
Hirzebruch, Friedrich
4
1985
Chern numbers of algebraic surfaces. Zbl 0504.14030
Hirzebruch, Friedrich
17
1984
Arrangements of lines and algebraic surfaces. Zbl 0527.14033
Hirzebruch, Friedrich
45
1983
Zahlen. (Numbers). Zbl 0543.00001
Ebbinghaus, H.-D.; Hermes, H.; Hirzebruch, Friedrich; Koecher, M.; Mainzer, K.; Prestel, A.; Remmert, Reinhold; Lamotke, K. (ed.)
1
1983
Some examples of algebraic surfaces. Zbl 0487.14009
Hirzebruch, Friedrich
10
1982
Lectures on Hilbert modular surfaces. Notes by W. Hausmann and F. J. Koll. Zbl 0483.14009
Hirzebruch, Friedrich; van der Geer, Gerard
6
1981
The canonical map for certain Hilbert modular surfaces. Zbl 0457.14019
Hirzebruch, Friedrich
1
1980
Minimal Hilbert modular surfaces with \(p_g=3\) and \(K^2=2\). Zbl 0414.14023
Hirzebruch, Friedrich; Van de Ven, A.
2
1979
Topological methods in algebraic geometry. Translation and appendix one by R.L.E. Schwarzenberger. Appendix two by A. Borel. 2nd, corr. printing of the 3rd ed. Zbl 0376.14001
Hirzebruch, Friedrich
68
1978
Modulflächen und Modulkurven zur symmetrischen Hilbertschen Modulgruppe. (Modular surfaces and modular curves for the symmetric Hilbert modular group). Zbl 0384.14011
Hirzebruch, Friedrich
4
1978
Überlagerungen der projektiven Ebene und Hilbertsche Modulflächen. Zbl 0382.14010
Hirzebruch, Friedrich
4
1978
Classification of Hilbert modular surfaces. Zbl 0354.14011
Hirzebruch, Friedrich; Zagier, Don
23
1977
The ring of Hilbert modular forms for real quadratic fields of small discriminant. Zbl 0369.10017
Hirzebruch, Friedrich
15
1977
Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus. Zbl 0332.14009
Hirzebruch, Friedrich; Zagier, Don
113
1976
Hilbert’s modular group of the field \(\mathbb{Q}(\sqrt 5)\) and the cubic diagonal surface of Clebsch and Klein. Zbl 0356.14010
Hirzebruch, Friedrich
6
1976
Die Hilbertsche Modulgruppe für \(Q(\sqrt5)\) und die kubische Diagonalfläche von Clebsch und Klein. Zbl 0335.14007
Hirzebruch, Friedrich
5
1976
The Atiyah-Singer theorem and elementary number theory. Zbl 0288.10001
Hirzebruch, Friedrich; Zagier, Don
96
1974
Hilbert modular surfaces and the classification of algebraic surfaces. Zbl 0296.14020
Hirzebruch, Friedrich; Van de Ven, A.
27
1974
Kurven auf den Hilbertschen Modulflächen und Klassenzahlrelationen. (Curves on the Hilbert modular surfaces and class number relations). Zbl 0301.14010
Hirzebruch, Friedrich
4
1974
Hilbert modular surfaces. Zbl 0285.14007
Hirzebruch, Friedrich E. P.
130
1973
The Hilbert modular group and some algebraic surfaces. Zbl 0282.14010
Hirzebruch, Friedrich
6
1973
L-Series, modular imbeddings, and signatures. Zbl 0245.10017
Hammond, W. F.; Hirzebruch, Friedrich
4
1973
Topological methods in algebraic geometry. (Topologiceskie metody v algebraiceskoi geometrii.) Mit Appendizes von A. Borel und R. Schwarzenberger. Übersetzung aus dem Englischen von B. B. Venkov. Zbl 0266.14011
Hirzebruch, Friedrich
2
1973
In memoriam Heinz Hopf. Zbl 0226.01013
Behnke, H.; Hirzebruch, Friedrich
6
1972
The signature theorem for differentiable manifolds and some elementary number theory. Zbl 0387.57005
Hirzebruch, Friedrich
2
1972
Differentiable manifolds and quadratic forms. Appendix II by W. Scharlau. Zbl 0226.57001
Hirzebruch, Friedrich; Neumann, W. D.; Koh, S. S.
58
1971
The signature theorem: Reminiscences and recreation. Zbl 0252.58009
Hirzebruch, Friedrich
32
1971
Einführung in die Funktionalanalysis. Zbl 0219.46001
Hirzebruch, Friedrich; Scharlau, W.
19
1971
The Hilbert modular group, resolution of the singularities at the cusps and related problems. Zbl 0232.10017
Hirzebruch, Friedrich
10
1971
Pontrjagin classes of rational homology manifolds and the signature of some affine hypersurfaces. Zbl 0217.49301
Hirzebruch, Friedrich
5
1971
Prospects in mathematics. Zbl 0233.00003
Hirzebruch, Friedrich; Hörmander, Lars; Milnor, John; Serre, Jean-Pierre; Singer, I. M.
3
1971
Free involutions on manifolds and some elementary number theory. Zbl 0206.52404
Hirzebruch, Friedrich
1
1971
Spin-manifolds and group actions. Zbl 0193.52401
Atiyah, Michael F.; Hirzebruch, Friedrich
54
1970
The signature of ramified coverings. Zbl 0208.51802
Hirzebruch, Friedrich
28
1969
Involutions and singularities. Zbl 0221.57024
Hirzebruch, Friedrich; Jänich, K.
3
1969
\(O(n)\)-manifolds, exotic spheres, and singularities. Zbl 0172.25304
Hirzebruch, Friedrich; Mayer, K. H.
35
1968
Singularities and exotic spheres. Zbl 0213.47701
Hirzebruch, Friedrich
10
1968
Involutionen auf Mannigfaltigkeiten. (Involutions on manifolds). Zbl 0177.26401
Hirzebruch, Friedrich
6
1968
Elliptische Differentialoperatoren auf Mannigfaltigkeiten. Zbl 0181.10302
Hirzebruch, Friedrich
1
1968
Topological methods in algebraic geometry. Zbl 0138.42001
Hirzebruch, Friedrich
429
1966
Über Singularitäten komplexer Flächen. (On singularities of complex surfaces). Zbl 0165.24101
Hirzebruch, Friedrich
5
1966
The topology of normal singularities of an algebraic surface. Zbl 0126.16903
Hirzebruch, Friedrich
2
1964
Neue topologische Methoden in der algebraischen Geometrie. (New topological methods in algebraic geometry). 2. erg. Aufl. Zbl 0101.38301
Hirzebruch, Friedrich
65
1962
Analytic cycles on complex manifolds. Zbl 0108.36401
Atiyah, Michael F.; Hirzebruch, Friedrich
63
1962
The Riemann-Roch theorem for analytic embeddings. Zbl 0108.36402
Atiyah, Michael F.; Hirzebruch, Friedrich
29
1962
Charakteristische Klassen und Anwendungen. Zbl 0104.39801
Atiyah, Michael F.; Hirzebruch, Friedrich
3
1962
Vector bundles and homogeneous spaces. Zbl 0108.17705
Atiyah, Michael F.; Hirzebruch, Friedrich
133
1961
Cohomologie-Operationen und charakteristische Klassen. (Cohomology operations and characteristic classes). Zbl 0109.16002
Atiyah, Michael F.; Hirzebruch, Friedrich
24
1961
Bott periodicity and the parallelizability of the spheres. Zbl 0108.35902
Atiyah, Michael F.; Hirzebruch, Friedrich
10
1961
Characteristic classes and homogeneous spaces. I-III. Zbl 0097.36401
Borel, Armand; Hirzebruch, Friedrich
283
1960
Komplexe Mannigfaltigkeiten. (Complex manifolds). Zbl 0132.19704
Hirzebruch, Friedrich
2
1960
Riemann-Roch theorems for differentiable manifolds. Zbl 0142.40901
Atiyah, Michael F.; Hirzebruch, Friedrich
58
1959
Some theorems of non-immersion for differentiable manifolds. Zbl 0196.55903
Atiyah, Michael F.; Hirzebruch, Friedrich
14
1959
A Riemann-Roch for differentiable manifolds. Zbl 0129.15406
Hirzebruch, Friedrich
5
1959
Felder von Flächenelementen in 4-dimensionalen Mannigfaltigkeiten. (Plane element fields in 4-dimensional manifolds). Zbl 0088.39403
Hirzebruch, Friedrich; Hopf, Heinz
45
1958
Automorphe Formen und der Satz von Riemann-Roch. (Automorphic forms and the theorem of Riemann-Roch). Zbl 0129.29801
Hirzebruch, Friedrich
24
1958
Characteristic numbers of homogeneous domains. Zbl 0123.13805
Hirzebruch, Friedrich
1
1958
On the index of a fibered manifold. Zbl 0083.17801
Chern, Shiing-Shen; Hirzebruch, Friedrich; Serre, Jean-Pierre
43
1957
On the complex projective spaces. Zbl 0090.38601
Hirzebruch, Friedrich; Kodaira, Kunihiko
31
1957
Garben- und Cohomologie-Theorie. (Theory of sheaves and cohomology theory). Zbl 0088.15201
Hirzebruch, Friedrich; Scheja, Günter
1
1957
New topological methods in algebraic geometry. Zbl 0070.16302
Hirzebruch, Friedrich
54
1956
Der Satz von Riemann-Roch in Faisceau-theoretischer Formulierung; einige Anwendungen und offene Fragen. (The theorem of Riemann-Roch in Faisceau-theoretic formulation; some applications and open questions). Zbl 0074.36701
Hirzebruch, Friedrich
44
1956
Some problems on differentiable and complex manifolds. Zbl 0056.16803
Hirzebruch, Friedrich
41
1954
Arithmetic genera and the theorem of Riemann-Roch for algebraic varieties. Zbl 0055.38803
Hirzebruch, Friedrich
13
1954
Über die quaternionalen projektiven Räume. (On the quaternionial projective spaces). Zbl 0057.15503
Hirzebruch, Friedrich
3
1954
Über vierdimensionale Riemannsche Flächen mehrdeutiger analytischer Funktionen von zwei komplexen Veränderlichen. (On four-dimensional Riemann surfaces of many-valued analytic functions of two complex variables). Zbl 0093.27605
Hirzebruch, Friedrich
60
1953
On Steenrod’s reduced powers, the index of inertia and the Todd genus. Zbl 0051.14501
Hirzebruch, Friedrich
15
1953
Übertragung einiger Sätze aus der Theorie der algebraischen Flächen auf komplexe Mannigfaltigkeiten von zwei komplexen Dimensionen. (Transformation of some theorems from the theory of algebraic surfaces on complex manifolds of two complex dimensions). Zbl 0052.19802
Hirzebruch, Friedrich
6
1953
Über eine Klasse von einfach-zusammenhängenden komplexen Mannigfaltigkeiten. (On a class of simply connected complex manifolds). Zbl 0043.30302
Hirzebruch, Friedrich
30
1951
all top 5

Cited by 2,053 Authors

14 Atiyah, Michael Francis
14 Maxim, Laurentiu G.
12 Brudnyi, Alexander
12 Bukhshtaber, Viktor Matveevich
12 Schürmann, Jörg
11 Grauert, Hans
11 Thomas, Paul Emery
11 Tomonaga, Yasuro
11 Yokura, Shoji
11 Zhang, Weiping
10 Cappell, Sylvain E.
10 Herrera, Rafael
10 Libgober, Anatoly S.
10 Yau, Stephen Shing-Toung
9 Dessai, Anand Naique
9 Grundman, Helen G.
9 Hirzebruch, Friedrich
9 Van de Ven, Antonius
8 Bott, Raoul Harry
8 Chrysikos, Ioannis
8 Ebeling, Wolfgang
8 Han, Fei
8 Herrera, Haydeé
8 Kucharz, Wojciech
8 Kudla, Stephen S.
8 Schneider, Michael
8 Shaneson, Julius L.
8 Zagier, Don Bernard
7 Arvanitoyeorgos, Andreas
7 Bringmann, Kathrin
7 Bunkova, Elena Yur’evna
7 Fukuma, Yoshiaki
7 Ghiloni, Riccardo
7 Gusein-Zade, Sabir M.
7 Knöller, Friedrich Wilhelm
7 Kotschick, Dieter
7 Millson, John J.
7 Pergher, Pedro Luiz Queiroz
6 Baum, Paul Frank
6 Bruinier, Jan Hendrik
6 Duan, Haibao
6 Gilmer, Patrick M.
6 Hermann, Carl Friedrich
6 Karoubi, Max
6 Matsushita, Yasuo
6 Naruki, Isao
6 Pokora, Piotr
6 Remmert, Reinhold W.
6 Sati, Hisham
6 Yau, Shing-Tung
5 Amann, Manuel
5 Biswas, Indranil
5 Brieskorn, Egbert
5 Cohn, Harvey
5 Czyz, Jacek
5 DeVito, Jason
5 Di Cerbo, Luca Fabrizio
5 Fukuhara, Shinji
5 Furushima, Mikio
5 Hambleton, Ian
5 Holzapfel, Rolf-Peter
5 Hsiang, Wu-Chung
5 Imamoḡlu, Özlem
5 Kaup, Ludger
5 Kobayashi, Ryoichi
5 Kono, Akira
5 Kultze, Rolf
5 Li, Ping
5 Liu, Kefeng
5 Morita, Shigeyuki
5 Perotti, Alessandro
5 Peternell, Thomas Martin
5 Pichon, Anne
5 Saito, Morihiko
5 Sakane, Yusuke
5 Seade, Jose Antonio
5 Shustin, Eugenii Isaakovich
5 Stover, Matthew
5 Tamanoi, Hirotaka
5 Tong, Yue Lin Lawrence
5 Van der Geer, Gerard
5 Verjovsky, Alberto
5 Vesentini, Edoardo
5 Voisin, Claire
5 Wood, John W.
5 Yang, Huijun
5 Yang, Tonghai
5 Yoshida, Masaaki
5 Zhao, Xuezhi
4 Akhmedov, Anar
4 Amram, Meirav
4 Ashikaga, Tadashi
4 Bayad, Abdelmejid
4 Beck, Matthias
4 Borel, Armand
4 Bunke, Ulrich
4 Bytsenko, Andrei A.
4 Catanese, Fabrizio M. E.
4 Chen, Weimin
4 Choi, Suyoung
...and 1,953 more Authors
all top 5

Cited in 263 Serials

218 Mathematische Annalen
107 Transactions of the American Mathematical Society
93 Inventiones Mathematicae
76 Mathematische Zeitschrift
60 Proceedings of the American Mathematical Society
60 Topology and its Applications
53 Advances in Mathematics
49 Manuscripta Mathematica
48 Tohoku Mathematical Journal. Second Series
45 Journal of Geometry and Physics
45 Duke Mathematical Journal
39 Compositio Mathematica
37 Communications in Mathematical Physics
36 Bulletin of the American Mathematical Society
29 Geometry & Topology
29 Algebraic & Geometric Topology
27 Annales de l’Institut Fourier
24 Annali di Matematica Pura ed Applicata. Serie Quarta
23 Journal of Number Theory
23 Journal of Pure and Applied Algebra
23 Annals of Global Analysis and Geometry
23 Bulletin of the American Mathematical Society. New Series
22 Proceedings of the Japan Academy. Series A
20 Journal of Algebra
19 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
19 Differential Geometry and its Applications
19 Comptes Rendus. Mathématique. Académie des Sciences, Paris
18 Nuclear Physics. B
18 Bulletin de la Société Mathématique de France
18 Functional Analysis and its Applications
18 International Journal of Mathematics
17 Acta Mathematica
17 Journal of Functional Analysis
17 Publications of the Research Institute for Mathematical Sciences, Kyoto University
14 Archiv der Mathematik
14 Publications Mathématiques
13 Mathematical Proceedings of the Cambridge Philosophical Society
13 \(K\)-Theory
12 Israel Journal of Mathematics
12 Geometriae Dedicata
12 Journal of Soviet Mathematics
12 Journal of the American Mathematical Society
12 Proceedings of the Steklov Institute of Mathematics
11 Journal für die Reine und Angewandte Mathematik
10 Mathematical Notes
10 Journal of High Energy Physics
9 Communications in Algebra
9 Letters in Mathematical Physics
9 Nagoya Mathematical Journal
9 Osaka Journal of Mathematics
9 Proceedings of the Edinburgh Mathematical Society. Series II
9 International Journal of Geometric Methods in Modern Physics
9 Proceedings of the Japan Academy
8 Journal of Mathematical Physics
8 Reports on Mathematical Physics
8 Kodai Mathematical Journal
7 General Relativity and Gravitation
7 Journal of Mathematical Analysis and Applications
7 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
7 Boletim da Sociedade Brasileira de Matemática
7 Mathematische Nachrichten
7 Tokyo Journal of Mathematics
7 Selecta Mathematica. New Series
7 Transformation Groups
7 Science China. Mathematics
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
6 Michigan Mathematical Journal
6 Results in Mathematics
6 Revista Matemática Iberoamericana
6 The Journal of Geometric Analysis
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Bulletin des Sciences Mathématiques
5 Bulletin of the Australian Mathematical Society
5 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
5 Rocky Mountain Journal of Mathematics
5 Journal of the London Mathematical Society. Second Series
5 Monatshefte für Mathematik
5 Chinese Annals of Mathematics. Series B
5 Journal of Symbolic Computation
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Linear Algebra and its Applications
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Expositiones Mathematicae
5 Journal of Knot Theory and its Ramifications
5 Journal of Algebraic Geometry
5 The Ramanujan Journal
5 Annals of Mathematics. Second Series
5 Journal of the European Mathematical Society (JEMS)
5 Communications in Contemporary Mathematics
5 Journal of Topology
5 Research in the Mathematical Sciences
5 Complex Manifolds
4 International Journal of Theoretical Physics
4 Collectanea Mathematica
4 Journal of Combinatorial Theory. Series A
4 Journal of the Mathematical Society of Japan
4 Advances in Applied Mathematics
4 Science in China. Series A
4 Indagationes Mathematicae. New Series
4 Journal of Mathematical Sciences (New York)
...and 163 more Serials
all top 5

Cited in 57 Fields

734 Algebraic geometry (14-XX)
610 Manifolds and cell complexes (57-XX)
398 Several complex variables and analytic spaces (32-XX)
384 Differential geometry (53-XX)
319 Number theory (11-XX)
311 Algebraic topology (55-XX)
279 Global analysis, analysis on manifolds (58-XX)
123 Quantum theory (81-XX)
102 \(K\)-theory (19-XX)
85 Group theory and generalizations (20-XX)
81 Topological groups, Lie groups (22-XX)
56 Nonassociative rings and algebras (17-XX)
55 Functional analysis (46-XX)
44 Commutative algebra (13-XX)
39 Functions of a complex variable (30-XX)
39 Dynamical systems and ergodic theory (37-XX)
38 Relativity and gravitational theory (83-XX)
37 Combinatorics (05-XX)
37 Convex and discrete geometry (52-XX)
30 Category theory; homological algebra (18-XX)
27 Partial differential equations (35-XX)
25 Associative rings and algebras (16-XX)
23 History and biography (01-XX)
22 Linear and multilinear algebra; matrix theory (15-XX)
19 Operator theory (47-XX)
15 Special functions (33-XX)
12 Geometry (51-XX)
11 Field theory and polynomials (12-XX)
8 Ordinary differential equations (34-XX)
7 General topology (54-XX)
7 Probability theory and stochastic processes (60-XX)
7 Mechanics of particles and systems (70-XX)
6 Abstract harmonic analysis (43-XX)
6 Numerical analysis (65-XX)
4 General and overarching topics; collections (00-XX)
4 Mathematical logic and foundations (03-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Real functions (26-XX)
4 Difference and functional equations (39-XX)
4 Approximations and expansions (41-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Measure and integration (28-XX)
3 Potential theory (31-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Integral equations (45-XX)
3 Computer science (68-XX)
3 Fluid mechanics (76-XX)
3 Information and communication theory, circuits (94-XX)
2 Integral transforms, operational calculus (44-XX)
1 General algebraic systems (08-XX)
1 Statistics (62-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

Citations by Year

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