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Kollár, János

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Author ID: kollar.janos Recent zbMATH articles by "Kollár, János"
Published as: Kollár, János; Kollar, Janos; Kollar, J.; Kollár, J.; Kollar, János; Kollár
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 194 Publications since 1978, including 17 Books
all top 5

Co-Authors

114 single-authored
8 Mori, Shigefumi
5 Johnson, Jennifer M.
4 Clemens, C. Herbert
4 Miyaoka, Yoichi
4 Xu, Chenyang
3 Corti, Alessio
3 Lazarsfeld, Robert Kendall
2 Babai, László
2 Boyer, Charles P.
2 Fried, Ervin
2 Galicki, Krzysztof
2 Grassi, Antonella
2 Kovács, Sándor J.
2 Kucharz, Wojciech
2 Mangolte, Frédéric
2 Matsuki, Kenji
2 Morrison, David R.
2 Némethi, András
2 Rónyai, Lajos
2 Schreyer, Frank-Olaf
2 Szabó, Tibor
1 Abramovich, Dan
1 Alexeev, Valery A.
1 Altmann, Klaus
1 Ambro, Florin
1 Araujo, Carolina
1 Balaji, Vikraman
1 Balaji, Vinoth
1 Ballico, Edoardo
1 Bien, Frédéric V.
1 Bochnak, Jacek
1 Borel, Armand
1 Böröczky, Karoly jun.
1 Claudon, Benoît
1 de Fernex, Tommaso
1 Demailly, Jean-Pierre
1 Derenthal, Ulrich
1 Dvir, Zeev
1 Fefferman, Charles Louis
1 Fernández de Bobadilla, Javier
1 Fong, Lungying
1 Frankl, Péter
1 Fujino, Osamu
1 Fulger, Mihai
1 Gál, Anna
1 Gawȩdzki, Krzysztof
1 Ghigi, Alessandro
1 Gibney, Angela
1 Gleason, Andrew Mattei
1 Hacking, Paul
1 Herman, Richard H.
1 Höring, Andreas
1 Horváthy, Peter A.
1 Ishii, Shihoko
1 Izadi, Elham
1 Jaffe, Arthur Michael
1 Ji, Shanyu
1 Joglar-Prieto, Nuria
1 Kachi, Yasuyuki
1 Kapovich, Michael
1 Keel, Sean
1 Kurdyka, Krzysztof
1 Larsen, Michael Jeffrey
1 Laza, Radu
1 Lehmann, Brian
1 Looijenga, Eduard J. N.
1 Lovett, Shachar
1 Mazur, Barry
1 McKernan, James
1 Mella, Massimiliano
1 Mukai, Shigeru
1 Mustaţă, Mircea
1 Nakayama, Noboru
1 Nicaise, Johannes
1 Nowak, Krzysztof Jan
1 Pardon, John Vincent
1 Sabidussi, Gert
1 Saccà, Giulia
1 Shepherd-Barron, Nicholas Ian
1 Shiffman, Bernard
1 Sipser, Michael
1 Smith, Karen E.
1 Soulé, Christophe
1 Szabó, Endre
1 Szamuely, Tamás
1 Takagi, Hiromichi
1 Thomas, Evan
1 Voisin, Claire
1 Wigderson, Avi
all top 5

Serials

7 Annals of Mathematics. Second Series
6 Journal of the American Mathematical Society
5 Inventiones Mathematicae
4 Bulletin of the American Mathematical Society. New Series
4 Notices of the American Mathematical Society
4 Pure and Applied Mathematics Quarterly
3 Advances in Mathematics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Duke Mathematical Journal
3 Journal of Differential Geometry
3 Michigan Mathematical Journal
3 Journal of Algebraic Geometry
3 Cambridge Tracts in Mathematics
3 Algebraic Geometry
2 Acta Mathematica Academiae Scientiarum Hungaricae
2 American Mathematical Monthly
2 Israel Journal of Mathematics
2 Algebra Universalis
2 American Journal of Mathematics
2 Annales de l’Institut Fourier
2 Journal of Algebra
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Annalen
2 Mathematische Zeitschrift
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Experimental Mathematics
2 Electronic Research Announcements of the American Mathematical Society
2 The Asian Journal of Mathematics
2 Acta Mathematica Sinica. English Series
2 Astérisque
2 Mathematical Sciences Research Institute Publications
2 Proceedings of Symposia in Pure Mathematics
2 Journal of Singularities
2 Peking Mathematical Journal
1 Classical and Quantum Gravity
1 Moscow University Mathematics Bulletin
1 Periodica Mathematica Hungarica
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Scientiarum Mathematicarum
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Collectanea Mathematica
1 Commentarii Mathematici Helvetici
1 Compositio Mathematica
1 Matematikai Lapok
1 Nagoya Mathematical Journal
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Semigroup Forum
1 Topology
1 Transactions of the American Mathematical Society
1 Combinatorica
1 Acta Mathematica Hungarica
1 Journal of the Ramanujan Mathematical Society
1 The Journal of Geometric Analysis
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Computational Complexity
1 Journal of Mathematical Sciences (New York)
1 Journal of Mathematical Sciences. University of Tokyo
1 Methods and Applications of Analysis
1 Journal of the European Mathematical Society (JEMS)
1 Portugaliae Mathematica. Nova Série
1 Journal of the Institute of Mathematics of Jussieu
1 Advanced Studies in Pure Mathematics
1 Annals of Mathematics Studies
1 Bolyai Society Mathematical Studies
1 Cambridge Studies in Advanced Mathematics
1 Contemporary Mathematics
1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge
1 Proceedings of the Steklov Institute of Mathematics
1 IAS/Park City Mathematics Series
1 Algebra & Number Theory
1 Journal of Topology
1 Science China. Mathematics
1 Épijournal de Géométrie Algébrique. EPIGA
1 Tunisian Journal of Mathematics
1 M. B. Porter Lectures

Publications by Year

Citations contained in zbMATH Open

160 Publications have been cited 3,488 times in 2,248 Documents Cited by Year
Birational geometry of algebraic varieties. With the collaboration of C. H. Clemens and A. Corti. Zbl 0926.14003
Kollár, János; Mori, Shigefumi
355
1998
Rational curves on algebraic varieties. Zbl 0877.14012
Kollár, János
249
1995
Threefolds and deformations of surface singularities. Zbl 0642.14008
Kollár, J.; Shepherd-Barron, N. I.
151
1988
Higher direct images of dualizing sheaves. I. Zbl 0598.14015
Kollár, János
130
1986
Semi-continuity of complex singularity exponents and Kähler-Einstein metrics on Fano orbifolds. Zbl 0994.32021
Demailly, Jean-Pierre; Kollár, János
125
2001
Rational connectedness and boundedness of Fano manifolds. Zbl 0759.14032
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
118
1992
Lectures on resolution of singularities. Zbl 1113.14013
Kollár, János
114
2007
Singularities of pairs. Zbl 0905.14002
Kollár, János
101
1997
Sharp effective Nullstellensatz. Zbl 0682.14001
Kollár, János
98
1988
Rationally connected varieties. Zbl 0780.14026
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
97
1992
Shafarevich maps and automorphic forms. Zbl 0871.14015
Kollár, János
81
1995
Singularities of the minimal model program. With the collaboration of Sándor Kovács. Zbl 1282.14028
Kollár, János
81
2013
Classification of three-dimensional flips. Zbl 0773.14004
Kollár, János; Mori, Shigefumi
80
1992
Shafarevich maps and plurigenera of algebraic varieties. Zbl 0819.14006
Kollár, János
78
1993
Rational and nearly rational varieties. Zbl 1060.14073
Kollár, János; Smith, Karen E.; Corti, Alessio
67
2004
Higher direct images of dualizing sheaves. II. Zbl 0605.14014
Kollár, János
63
1986
Flops. Zbl 0645.14004
Kollár, János
60
1989
Projectivity of complete moduli. Zbl 0684.14002
Kollár, János
57
1990
Effective base point freeness. Zbl 0818.14002
Kollár, János
50
1993
Log canonical singularities are Du Bois. Zbl 1202.14003
Kollár, János; Kovács, Sándor J.
46
2010
Einstein metrics on spheres. Zbl 1093.53044
Boyer, Charles P.; Galicki, Krzysztof; Kollár, János
45
2005
The Nash problem on arc families of singularities. Zbl 1052.14011
Ishii, Shihoko; Kollár, János
44
2003
Flips and abundance for algebraic threefolds. A summer seminar at the University of Utah, Salt Lake City, 1991. Zbl 0782.00075
Kollár, János (ed.)
41
1992
Higher dimensional complex geometry. A summer seminar at the University of Utah, Salt Lake City, 1987. Zbl 0689.14016
Clemens, Herbert; Kollár, János; Mori, Shigefumi
40
1988
Norm-graphs and bipartite Turán numbers. Zbl 0858.05061
Kollár, János; Rónyai, Lajos; Szabó, Tibor
40
1996
A global Łojasiewicz inequality for algebraic varieties. Zbl 0762.14001
Ji, Shanyu; Kollár, János; Shiffman, Bernard
36
1992
Nonrational hypersurfaces. Zbl 0839.14031
Kollár, János
36
1995
Continuous rational functions on real and \(p\)-adic varieties. Zbl 1390.14178
Kollár, János; Nowak, Krzysztof
30
2015
Flips, flops, minimal models, etc. Zbl 0755.14003
Kollár, János
27
1991
Boundedness of canonical \(\mathbb{Q}\)-Fano 3-folds. Zbl 0981.14016
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi; Takagi, Hiromichi
26
2000
Quotient spaces modulo algebraic groups. Zbl 0881.14017
Kollár, János
26
1997
Toward moduli of singular varieties. Zbl 0666.14003
Kollár, János
24
1985
Riemann-Roch type inequalities. Zbl 0538.14006
Kollár, J.; Matsusaka, T.
22
1983
Extremal rays on smooth threefolds. Zbl 0753.14036
Kollár, János
22
1991
Is there a topological Bogomolov-Miyaoka-Yau inequality? Zbl 1145.14031
Kollár, János
22
2008
Einstein metrics on five-dimensional Seifert bundles. Zbl 1082.53041
Kollár, János
21
2005
An effective Łojasiewicz inequality for real polynomials. Zbl 0973.26012
Kollár, János
20
1999
Moduli of varieties of general type. Zbl 1322.14006
Kollár, János
20
2013
The structure of algebraic threefolds: An introduction to Mori’s program. Zbl 0649.14022
Kollár, János
19
1987
The cone theorem: Note to a paper of Y. Kawamata. Zbl 0544.14010
Kollár, János
19
1984
Unirationality of cubic hypersurfaces. Zbl 1077.14556
Kollár, János
19
2002
Rationally connected varieties over local fields. Zbl 0976.14016
Kollár, János
18
1999
Rational curves on varieties. Zbl 1080.14521
Araujo, Carolina; Kollár, János
17
2003
Kähler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces. Zbl 0974.14023
Johnson, Jennifer M.; Kollár, János
17
2001
Kodaira’s canonical bundle formula and adjunction. Zbl 1286.14027
Kollár, János
16
2007
The dual complex of singularities. Zbl 1388.14107
de Fernex, Tommaso; Kollár, János; Xu, Chenyang
16
2017
Effective Nullstellensatz for arbitrary ideals. Zbl 0986.14043
Kollár, János
14
1999
Conics in the Grothendieck ring. Zbl 1082.14022
Kollár, János
14
2005
Szemerédi-Trotter-type theorems in dimension 3. Zbl 1309.14042
Kollár, János
14
2015
Subadditivity of the Kodaira dimension: Fibers of general type. Zbl 0659.14024
Kollár, János
13
1987
Congruences and one element subalgebras. Zbl 0407.08002
Kollar, Janos
13
1979
Circle actions on simply connected 5-manifolds. Zbl 1094.57020
Kollár, János
13
2006
Exercises in the birational geometry of algebraic varieties. Zbl 1221.14001
Kollár, János
12
2010
Low degree polynomial equations: Arithmetic, geometry and topology. Zbl 0970.14001
Kollár, János
12
1998
Rational curves on Fano varieties. Zbl 0776.14012
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi
12
1992
Flatness criteria. Zbl 0853.14008
Kollár, János
12
1995
Holonomy groups of stable vector bundles. Zbl 1146.14023
Balaji, V.; Kollár, János
12
2008
Quotients of Calabi-Yau varieties. Zbl 1200.14074
Kollár, János; Larsen, Michael
12
2009
The dual complex of Calabi-Yau pairs. Zbl 1360.14056
Kollár, János; Xu, Chenyang
12
2016
Real algebraic threefolds. III. Conic bundles. Zbl 0964.14014
Kollár, János
11
1999
Log surfaces of general type; some conjectures. Zbl 0860.14014
Kollár, János
11
1994
Curve-rational functions. Zbl 1407.14056
Kollár, János; Kucharz, Wojciech; Kurdyka, Krzysztof
11
2018
Simultaneous normalization and algebra husks. Zbl 1246.14006
Kollár, János
11
2011
Fundamental groups of rationally connected varieties. Zbl 1077.14520
Kollár, János
10
2000
Specialization of zero cycles. Zbl 1081.14008
Kollár, János
10
2004
Kähler-Einstein metrics on orbifolds and Einstein metrics on spheres. Zbl 1135.53031
Ghigi, Alessandro; Kollár, János
10
2007
Cremona transformations and diffeomorphisms of surfaces. Zbl 1188.14008
Kollár, János; Mangolte, Frédéric
10
2009
Rationally connected varieties over finite fields. Zbl 1077.14068
Kollár, János; Szabó, Endre
10
2003
Arc spaces of \(cA\)-type singularities. Zbl 1293.32037
Johnson, Jennifer M.; Kollár, János
10
2013
Einstein metrics on exotic spheres in dimensions 7, 11 and 15. Zbl 1112.53033
Boyer, Charles P.; Galicki, Krzysztof; Kollár, János; Thomas, Evan
9
2005
A conjecture of Ax and degenerations of Fano varieties. Zbl 1140.14009
Kollár, János
9
2007
Fundamental groups of links of isolated singularities. Zbl 1307.14005
Kapovich, Michael; Kollár, János
9
2014
Fano hypersurfaces in weighted projective 4-spaces. Zbl 0972.14034
Johnson, Jennifer M.; Kollár, János
8
2001
Which are the simplest algebraic varieties? Zbl 0978.14039
Kollár, János
8
2001
Birational geometry of algebraic varieties. With the collaboration of C. H. Clemens and A. Corti. Paperback reprint of the hardback edition 1998. Zbl 1143.14014
Kollár, János; Mori, Shigefumi
8
2008
Automorphism groups of algebraic number fields. Zbl 0391.12005
Fried, Ervin; Kollar, Janos
8
1978
Einstein metrics on connected sums of \((S^2\times S^3)\). Zbl 1118.53026
Kollár, János
8
2007
Deformations of elliptic Calabi-Yau manifolds. Zbl 1326.14081
Kollár, J.
8
2014
Examples of vanishing Gromov-Witten-Welschinger invariants. Zbl 1366.14049
Kollár, János
8
2015
Volume and Hilbert functions of \(\mathbb{R}\)-divisors. Zbl 1353.14011
Fulger, Mihai; Kollár, János; Lehmann, Brian
8
2016
Quotients by finite equivalence relations. Zbl 1271.14002
Kollár, János
8
2012
Injectivity and congruence extension property in congruence distributive equational classes. Zbl 0436.08003
Kollar, Janos
7
1980
Real Fano 3-folds of type \(V_{22}\). Zbl 1070.14058
Kollár, János; Schreyer, Frank-Olaf
6
2004
Real algebraic threefolds. IV: Del Pezzo fibrations. Zbl 1078.14088
Kollár, János
6
2000
Polynomials with integral coefficients, equivalent to a given polynomial. Zbl 0867.11047
Kollár, János
6
1997
Real algebraic threefolds. II: Minimal model program. Zbl 0964.14013
Kollár, János
6
1999
Simple normal crossing varieties with prescribed dual complex. Zbl 1307.14059
Kollár, János
6
2014
Continuous closure of sheaves. Zbl 1260.14019
Kollár, János
6
2012
Continuous solutions of linear equations. Zbl 1263.15003
Fefferman, Charles; Kollár, János
6
2013
Remarks on degenerations of hyper-Kähler manifolds. (Remarques sur les dégénérescences des variétés hyper-kählériennes.) Zbl 1435.14038
Kollár, János; Laza, Radu; Saccà, Giulia; Voisin, Claire
6
2018
Extremal bipartite graphs and superpolynomial lower bounds for monotone span programs. Zbl 0915.05076
Babai, László; Gál, Anna; Kollár, János; Rónyai, Lajos; Szabó, Tibor; Wigderson, Avi
5
1996
Rationally connected varieties and fundamental groups. Zbl 1075.14017
Kollár, János
5
2003
The Nash conjecture for threefolds. Zbl 0896.14030
Kollár, János
5
1998
The category of unary algebras, containing a given subalgebra. I. Zbl 0415.08003
Kollar, J.
5
1979
Real algebraic threefolds. I: Terminal singularities. Zbl 0948.14013
Kollár, János
5
1998
Real Abelian varieties with many line bundles. Zbl 1024.14024
Joglar-Prieto, Nuria; Kollár, János
5
2003
Two examples of surfaces with normal crossing singularities. Zbl 1241.14013
Kollár, János
5
2011
Links of complex analytic singularities. Zbl 1318.32033
Kollár, János
5
2013
Quadratic families of elliptic curves and unirationality of degree 1 conic bundles. Zbl 1388.14096
Kollár, János; Mella, Massimiliano
5
2017
The moduli of curves is stably rational for g\(\leq 6\). Zbl 0576.14027
Kollar, János; Schreyer, Frank Olaf
4
1984
Pell surfaces. Zbl 07200111
Kollár, János
2
2020
Deformations of log canonical and \(F\)-pure singularities. Zbl 1454.14008
Kollár, János; Kovács, Sándor J.
2
2020
Partial resolution by toroidal blow-ups. Zbl 1408.14060
Kollár, János
3
2019
The rigidity theorem of Fano-Segre-Iskovskikh-Manin-Pukhlikov-Corti-Cheltsov-de Fernex-Ein-Mustaţă-Zhuang. Zbl 07217369
Kollár, János
3
2019
The dualizing sheaf on first-order deformations of toric surface singularities. Zbl 1422.14006
Altmann, Klaus; Kollár, János
2
2019
Algebraic hypersurfaces. Zbl 1470.14085
Kollár, János
2
2019
Curve-rational functions. Zbl 1407.14056
Kollár, János; Kucharz, Wojciech; Kurdyka, Krzysztof
11
2018
Remarks on degenerations of hyper-Kähler manifolds. (Remarques sur les dégénérescences des variétés hyper-kählériennes.) Zbl 1435.14038
Kollár, János; Laza, Radu; Saccà, Giulia; Voisin, Claire
6
2018
Semi-stable extensions over 1-dimensional bases. Zbl 1408.14061
Kollár, János; Nicaise, Johannes; Xu, Chen Yang
4
2018
Log-plurigenera in stable families of surfaces. Zbl 1423.14221
Kollár, János
4
2018
Symmetric powers of Severi-Brauer varieties. Zbl 1423.14092
Kollár, János
3
2018
Log-plurigenera in stable families. Zbl 1439.14035
Kollár, János
1
2018
The dual complex of singularities. Zbl 1388.14107
de Fernex, Tommaso; Kollár, János; Xu, Chenyang
16
2017
Quadratic families of elliptic curves and unirationality of degree 1 conic bundles. Zbl 1388.14096
Kollár, János; Mella, Massimiliano
5
2017
Durfee’s conjecture on the signature of smoothings of surface singularities. (La conjecture de Durfee sur la signature des lissages des singularités des surfaces.) Zbl 1382.32020
Kollár, János; Némethi, András
2
2017
Coherence of local and global hulls. Zbl 1388.13023
Kollár, János
1
2017
The dual complex of Calabi-Yau pairs. Zbl 1360.14056
Kollár, János; Xu, Chenyang
12
2016
Volume and Hilbert functions of \(\mathbb{R}\)-divisors. Zbl 1353.14011
Fulger, Mihai; Kollár, János; Lehmann, Brian
8
2016
Approximating curves on real rational surfaces. Zbl 1344.14035
Kollár, János; Mangolte, Frédéric
3
2016
Sources of log canonical centers. Zbl 1369.14013
Kollár, János
3
2016
Maps between local Picard groups. Zbl 1376.14036
Kollár, János
2
2016
Variants of normality for Noetherian schemes. Zbl 1398.14008
Kollár, János
1
2016
Arcology. Zbl 1391.14029
Johnson, Jennifer M.; Kollár, János
1
2016
Continuous rational functions on real and \(p\)-adic varieties. Zbl 1390.14178
Kollár, János; Nowak, Krzysztof
30
2015
Szemerédi-Trotter-type theorems in dimension 3. Zbl 1309.14042
Kollár, János
14
2015
Examples of vanishing Gromov-Witten-Welschinger invariants. Zbl 1366.14049
Kollár, János
8
2015
Holomorphic arcs on singularities. Zbl 1342.32020
Kollár, János; Némethi, András
3
2015
Neighborhoods of subvarieties in homogeneous spaces. Zbl 1360.14121
Kollár, János
2
2015
Is there a curse of the Fields Medal? Zbl 1338.01086
Kollár, János
1
2015
Fundamental groups of links of isolated singularities. Zbl 1307.14005
Kapovich, Michael; Kollár, János
9
2014
Deformations of elliptic Calabi-Yau manifolds. Zbl 1326.14081
Kollár, J.
8
2014
Simple normal crossing varieties with prescribed dual complex. Zbl 1307.14059
Kollár, János
6
2014
The structure of algebraic varieties. Zbl 1373.14001
Kollár, János
3
2014
Variety evasive sets. Zbl 1308.68166
Dvir, Zeev; Kollár, János; Lovett, Shachar
2
2014
Semi-normal log centres and deformations of pairs. Zbl 1328.14061
Kollár, János
2
2014
Singularities of the minimal model program. With the collaboration of Sándor Kovács. Zbl 1282.14028
Kollár, János
81
2013
Moduli of varieties of general type. Zbl 1322.14006
Kollár, János
20
2013
Arc spaces of \(cA\)-type singularities. Zbl 1293.32037
Johnson, Jennifer M.; Kollár, János
10
2013
Continuous solutions of linear equations. Zbl 1263.15003
Fefferman, Charles; Kollár, János
6
2013
Links of complex analytic singularities. Zbl 1318.32033
Kollár, János
5
2013
Grothendieck-Lefschetz type theorems for the local Picard group. Zbl 1327.14045
Kollár, János
2
2013
Quotients by finite equivalence relations. Zbl 1271.14002
Kollár, János
8
2012
Continuous closure of sheaves. Zbl 1260.14019
Kollár, János
6
2012
Algebraic varieties with semialgebraic universal cover. Zbl 1243.14008
Kollár, János; Pardon, John
2
2012
Homotopically trivial deformations. Zbl 1292.32003
Fernández de Bobadilla, Javier; Kollár, János
1
2012
Simultaneous normalization and algebra husks. Zbl 1246.14006
Kollár, János
11
2011
Two examples of surfaces with normal crossing singularities. Zbl 1241.14013
Kollár, János
5
2011
A local version of the Kawamata-Viehweg vanishing theorem. Zbl 1316.14039
Kollár, János
4
2011
How small can a polynomial be near infinity? Zbl 1209.14048
Johnson, Jennifer M.; Kollár, János
2
2011
Log canonical singularities are Du Bois. Zbl 1202.14003
Kollár, János; Kovács, Sándor J.
46
2010
Exercises in the birational geometry of algebraic varieties. Zbl 1221.14001
Kollár, János
12
2010
Holomorphic and pseudo-holomorphic curves on rationally connected varieties. Zbl 1198.14050
Kollár, János
3
2010
Lectures on flips and minimal models. Zbl 1218.14012
Corti, Alessio; Hacking, Paul; Kollár; Lazarsfeld, Robert; Mustaţă, Mircea
1
2010
Quotients of Calabi-Yau varieties. Zbl 1200.14074
Kollár, János; Larsen, Michael
12
2009
Cremona transformations and diffeomorphisms of surfaces. Zbl 1188.14008
Kollár, János; Mangolte, Frédéric
10
2009
Positive Sasakian structures on 5-manifolds. Zbl 1179.53053
Kollár, János
3
2009
Birational rigidity of Fano varieties and field extensions. Zbl 1312.14040
Kollár, János
3
2009
Is there a topological Bogomolov-Miyaoka-Yau inequality? Zbl 1145.14031
Kollár, János
22
2008
Holonomy groups of stable vector bundles. Zbl 1146.14023
Balaji, V.; Kollár, János
12
2008
Birational geometry of algebraic varieties. With the collaboration of C. H. Clemens and A. Corti. Paperback reprint of the hardback edition 1998. Zbl 1143.14014
Kollár, János; Mori, Shigefumi
8
2008
Looking for rational curves on cubic hypersurfaces. Zbl 1182.14014
Kollár, János; Derenthal, Ulrich
4
2008
Diophantine subsets of function fields of curves. Zbl 1178.11075
Kollár, János
3
2008
Lectures on resolution of singularities. Zbl 1113.14013
Kollár, János
114
2007
Kodaira’s canonical bundle formula and adjunction. Zbl 1286.14027
Kollár, János
16
2007
Kähler-Einstein metrics on orbifolds and Einstein metrics on spheres. Zbl 1135.53031
Ghigi, Alessandro; Kollár, János
10
2007
A conjecture of Ax and degenerations of Fano varieties. Zbl 1140.14009
Kollár, János
9
2007
Einstein metrics on connected sums of \((S^2\times S^3)\). Zbl 1118.53026
Kollár, János
8
2007
Algebraic varieties over PAC fields. Zbl 1143.12003
Kollár, János
1
2007
Circle actions on simply connected 5-manifolds. Zbl 1094.57020
Kollár, János
13
2006
Non-quasi-projective moduli spaces. Zbl 1140.14011
Kollár, János
2
2006
Einstein metrics on spheres. Zbl 1093.53044
Boyer, Charles P.; Galicki, Krzysztof; Kollár, János
45
2005
Einstein metrics on five-dimensional Seifert bundles. Zbl 1082.53041
Kollár, János
21
2005
Conics in the Grothendieck ring. Zbl 1082.14022
Kollár, János
14
2005
Einstein metrics on exotic spheres in dimensions 7, 11 and 15. Zbl 1112.53033
Boyer, Charles P.; Galicki, Krzysztof; Kollár, János; Thomas, Evan
9
2005
Rational and nearly rational varieties. Zbl 1060.14073
Kollár, János; Smith, Karen E.; Corti, Alessio
67
2004
Specialization of zero cycles. Zbl 1081.14008
Kollár, János
10
2004
Real Fano 3-folds of type \(V_{22}\). Zbl 1070.14058
Kollár, János; Schreyer, Frank-Olaf
6
2004
The Nash problem on arc families of singularities. Zbl 1052.14011
Ishii, Shihoko; Kollár, János
44
2003
Rational curves on varieties. Zbl 1080.14521
Araujo, Carolina; Kollár, János
17
2003
Rationally connected varieties over finite fields. Zbl 1077.14068
Kollár, János; Szabó, Endre
10
2003
Rationally connected varieties and fundamental groups. Zbl 1075.14017
Kollár, János
5
2003
Real Abelian varieties with many line bundles. Zbl 1024.14024
Joglar-Prieto, Nuria; Kollár, János
5
2003
The Picard group of singular curves. Zbl 1087.14502
Ballico, E.; Kollár, J.
1
2003
Unirationality of cubic hypersurfaces. Zbl 1077.14556
Kollár, János
19
2002
The Nash conjecture for nonprojective threefolds. Zbl 1054.14077
Kollár, János
1
2002
Semi-continuity of complex singularity exponents and Kähler-Einstein metrics on Fano orbifolds. Zbl 0994.32021
Demailly, Jean-Pierre; Kollár, János
125
2001
Kähler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces. Zbl 0974.14023
Johnson, Jennifer M.; Kollár, János
17
2001
Fano hypersurfaces in weighted projective 4-spaces. Zbl 0972.14034
Johnson, Jennifer M.; Kollár, János
8
2001
Which are the simplest algebraic varieties? Zbl 0978.14039
Kollár, János
8
2001
The topology of real and complex algebraic varieties. Zbl 1036.14010
Kollár, János
4
2001
Boundedness of canonical \(\mathbb{Q}\)-Fano 3-folds. Zbl 0981.14016
Kollár, János; Miyaoka, Yoichi; Mori, Shigefumi; Takagi, Hiromichi
26
2000
Fundamental groups of rationally connected varieties. Zbl 1077.14520
Kollár, János
10
2000
Real algebraic threefolds. IV: Del Pezzo fibrations. Zbl 1078.14088
Kollár, János
6
2000
Characterizations of \({\mathbb{P}}^N\) in arbitrary characteristic. Zbl 1019.14020
Kachi, Yasuyuki; Kollár, János
4
2000
Nonrational covers of \(\mathbb{C}\mathbb{P}^m\times \mathbb{C}\mathbb{P}^n\). Zbl 0961.14033
Kollár, János
3
2000
An effective Łojasiewicz inequality for real polynomials. Zbl 0973.26012
Kollár, János
20
1999
Rationally connected varieties over local fields. Zbl 0976.14016
Kollár, János
18
1999
Effective Nullstellensatz for arbitrary ideals. Zbl 0986.14043
Kollár, János
14
1999
Real algebraic threefolds. III. Conic bundles. Zbl 0964.14014
Kollár, János
11
1999
Real algebraic threefolds. II: Minimal model program. Zbl 0964.14013
Kollár, János
6
1999
...and 60 more Documents
all top 5

Cited by 1,766 Authors

44 Kollár, János
30 Cheltsov, Ivan Anatol’evich
27 Hacon, Christopher Derek
26 Xu, Chenyang
25 Prokhorov, Yuriĭ Gennad’evich
24 Peternell, Thomas Martin
22 Campana, Frédéric
22 Zhang, De-Qi
19 Biswas, Indranil
19 Fujino, Osamu
16 Chen, Jungkai Alfred
16 Chen, Meng
16 Kovács, Sándor J.
16 Kucharz, Wojciech
15 Boyer, Charles P.
15 Cascini, Paolo
15 Schwede, Karl E.
15 Shramov, Konstantin Aleksandrovich
13 de Fernex, Tommaso
13 Höring, Andreas
13 Kebekus, Stefan
12 Druel, Stéphane
12 Park, Jihun
11 Alexeev, Valery A.
11 Gongyo, Yoshinori
11 Guan, Qi’an
11 Mori, Shigefumi
11 Schröer, Stefan
11 Tanaka, Hiromu
10 Hassett, Brendan
10 Hwang, Jun-Muk
10 Ishii, Shihoko
10 Lehmann, Brian
10 Li, Chi
10 Mustaţă, Mircea
10 Nicaise, Johannes
10 Paun, Mihai
10 Popa, Mihnea
10 Viehweg, Eckart
9 Andreatta, Marco
9 Boucksom, Sébastien
9 Ein, Lawrence Man Hon
9 Hacking, Paul
9 Jonsson, Mattias
9 Keum, Jonghae
9 Lee, Yongnam
9 Mangolte, Frédéric
9 Patakfalvi, Zsolt
9 Phạm Hoàng Hiệp
9 Pukhlikov, Aleksandr Valentinovich
9 Zhou, Xiangyu
8 Araujo, Carolina
8 Birkar, Caucher
8 Borisov, Lev A.
8 Demailly, Jean-Pierre
8 Fujita, Kento
8 Graf, Patrick
8 Kurdyka, Krzysztof
8 Occhetta, Gianluca
8 Schreieder, Stefan
8 Spodzieja, Stanisław
8 Takagi, Shunsuke
8 Totaro, Burt
8 Voisin, Claire
8 Wittenberg, Olivier
7 Catanese, Fabrizio M. E.
7 Colliot-Thélène, Jean-Louis
7 Eyssidieux, Philippe
7 Galicki, Krzysztof
7 Jahnke, Priska
7 Keel, Sean
7 Lanteri, Antonio
7 Laza, Radu
7 Lazarsfeld, Robert Kendall
7 Liu, Yuchen
7 Matsumura, Shin-ichi
7 McKernan, James
7 Mok, Ngaiming
7 Okada, Takuzo
7 Park, Heesang
7 Park, Jinhyung
7 Park, Jongil
7 Phạm Tiên So’n
7 Radloff, Ivo
7 Reguera, Ana-José
7 Rollenske, Sönke
7 Shin, Dongsoo
7 Takagi, Hiromichi
7 Takayama, Shigeharu
7 Tian, Zhiyu
7 Urzúa, Giancarlo
7 Watanabe, Kiwamu
7 Won, Joonyeong
7 Yau, Shing-Tung
6 Ballico, Edoardo
6 Blanc, Jérémy
6 Brion, Michel
6 Ciliberto, Ciro
6 Favre, Charles
6 Floris, Enrica
...and 1,666 more Authors
all top 5

Cited in 235 Serials

118 Mathematische Annalen
103 Advances in Mathematics
93 Mathematische Zeitschrift
91 Transactions of the American Mathematical Society
89 Journal of Algebraic Geometry
74 Inventiones Mathematicae
67 Annales de l’Institut Fourier
66 Proceedings of the American Mathematical Society
63 Journal of Algebra
62 Duke Mathematical Journal
57 Compositio Mathematica
55 Manuscripta Mathematica
55 International Journal of Mathematics
47 Journal of Pure and Applied Algebra
45 Journal für die Reine und Angewandte Mathematik
41 Journal of the American Mathematical Society
33 Communications in Algebra
32 European Journal of Mathematics
28 Annals of Mathematics. Second Series
27 Nagoya Mathematical Journal
26 Comptes Rendus. Mathématique. Académie des Sciences, Paris
24 Geometriae Dedicata
24 The Journal of Geometric Analysis
21 Publications of the Research Institute for Mathematical Sciences, Kyoto University
19 Geometry & Topology
16 Michigan Mathematical Journal
15 Bulletin of the American Mathematical Society. New Series
15 Selecta Mathematica. New Series
14 Proceedings of the Japan Academy. Series A
14 Journal of the European Mathematical Society (JEMS)
13 Communications in Mathematical Physics
13 Tohoku Mathematical Journal. Second Series
13 Science China. Mathematics
13 Journal de l’École Polytechnique – Mathématiques
12 Archiv der Mathematik
12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
12 Forum of Mathematics, Sigma
11 Algebra Universalis
11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
11 Journal of the Institute of Mathematics of Jussieu
10 Mathematical Notes
10 Mathematical Proceedings of the Cambridge Philosophical Society
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Bulletin de la Société Mathématique de France
10 Mathematische Nachrichten
10 Osaka Journal of Mathematics
10 Proceedings of the Edinburgh Mathematical Society. Series II
10 Journal of Symbolic Computation
10 Journal of Mathematical Sciences (New York)
10 Proceedings of the Steklov Institute of Mathematics
10 Algebra & Number Theory
10 Kyoto Journal of Mathematics
9 Israel Journal of Mathematics
9 Differential Geometry and its Applications
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Annals of Global Analysis and Geometry
8 Bulletin des Sciences Mathématiques
8 Transformation Groups
8 Communications in Contemporary Mathematics
8 Journal of High Energy Physics
8 Advances in Geometry
7 Publications Mathématiques
7 Journal of the Mathematical Society of Japan
7 Memoirs of the American Mathematical Society
7 Geometric and Functional Analysis. GAFA
7 Sbornik: Mathematics
7 Documenta Mathematica
7 Bulletin of the Brazilian Mathematical Society. New Series
7 Central European Journal of Mathematics
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
6 Discrete Mathematics
6 Journal of Geometry and Physics
6 Acta Mathematica
6 Journal of Combinatorial Theory. Series B
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Izvestiya: Mathematics
5 Mathematics of Computation
5 Beiträge zur Algebra und Geometrie
5 Acta Mathematica Vietnamica
5 Journal of Number Theory
5 Topology and its Applications
5 Advances in Applied Mathematics
5 Journal of Complexity
5 Discrete & Computational Geometry
5 Revista Matemática Iberoamericana
5 Journal de Théorie des Nombres de Bordeaux
5 Japanese Journal of Mathematics. 3rd Series
5 Journal of Singularities
5 Complex Manifolds
5 Bollettino dell’Unione Matematica Italiana
4 Journal of Mathematical Analysis and Applications
4 Arkiv för Matematik
4 Collectanea Mathematica
4 Kodai Mathematical Journal
4 Linear Algebra and its Applications
4 Applicable Algebra in Engineering, Communication and Computing
4 Computational Complexity
4 Experimental Mathematics
4 International Journal of Number Theory
4 Journal of Commutative Algebra
...and 135 more Serials
all top 5

Cited in 52 Fields

1,817 Algebraic geometry (14-XX)
535 Several complex variables and analytic spaces (32-XX)
224 Differential geometry (53-XX)
162 Commutative algebra (13-XX)
108 Number theory (11-XX)
65 Manifolds and cell complexes (57-XX)
57 Group theory and generalizations (20-XX)
53 Combinatorics (05-XX)
49 Field theory and polynomials (12-XX)
44 Dynamical systems and ergodic theory (37-XX)
42 Computer science (68-XX)
32 Global analysis, analysis on manifolds (58-XX)
28 Associative rings and algebras (16-XX)
28 Category theory; homological algebra (18-XX)
27 Mathematical logic and foundations (03-XX)
27 General algebraic systems (08-XX)
27 Quantum theory (81-XX)
24 Algebraic topology (55-XX)
21 Real functions (26-XX)
21 Convex and discrete geometry (52-XX)
16 Geometry (51-XX)
13 \(K\)-theory (19-XX)
12 Topological groups, Lie groups (22-XX)
10 History and biography (01-XX)
9 Functions of a complex variable (30-XX)
9 Relativity and gravitational theory (83-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Partial differential equations (35-XX)
7 Numerical analysis (65-XX)
6 Potential theory (31-XX)
6 Operator theory (47-XX)
6 General topology (54-XX)
6 Information and communication theory, circuits (94-XX)
4 General and overarching topics; collections (00-XX)
4 Ordinary differential equations (34-XX)
4 Statistics (62-XX)
3 Special functions (33-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Abstract harmonic analysis (43-XX)
3 Functional analysis (46-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Nonassociative rings and algebras (17-XX)
2 Difference and functional equations (39-XX)
2 Approximations and expansions (41-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Operations research, mathematical programming (90-XX)
2 Biology and other natural sciences (92-XX)
1 Measure and integration (28-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Systems theory; control (93-XX)

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