# zbMATH — the first resource for mathematics

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 Documents Indexed: 68 Publications since 1990, including 1 Book
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#### Co-Authors

 51 single-authored 4 Zhang, De-Qi 3 Kondō, Shigeyuki 2 Hara, Hiroaki 1 Arima, Ken-ichiro 1 Degtyarev, Alex 1 Dolgachev, Igor’ Vladimirovich 1 Duc Tai Pho 1 Hayakawa, Yoshinori 1 Hoang, Thanh Hoai 1 Ishikawa, Goo 1 Izumiya, Shyuichi 1 Katsura, Toshiyuki 1 Kawazoe, Yoshiyuki 1 Koganezawa, Masayuki 1 Sano, Takasi 1 Shioda, Tetsuji 1 Takahashi, Nobuyoshi 1 Tokunaga, Hiro-o
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#### Serials

 5 Michigan Mathematical Journal 3 Canadian Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Commentarii Mathematici Universitatis Sancti Pauli 2 Journal of the Mathematical Society of Japan 2 Kodai Mathematical Journal 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Pacific Journal of Mathematics 2 International Journal of Mathematics 2 IMRN. International Mathematics Research Notices 1 Biological Cybernetics 1 Mathematics of Computation 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Journal of Algebra 1 Journal of the Faculty of Science. Section I A 1 Journal of Number Theory 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Topology 1 Transactions of the American Mathematical Society 1 Designs, Codes and Cryptography 1 The Australasian Journal of Combinatorics 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Finite Fields and their Applications 1 Vietnam Journal of Mathematics 1 The Asian Journal of Mathematics 1 RIMS Kokyuroku 1 Advances in Geometry 1 Advanced Studies in Pure Mathematics 1 Science China. Mathematics 1 Journal of Theoretical Biology 1 Algebraic Geometry 1 European Journal of Mathematics
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#### Fields

 64 Algebraic geometry (14-XX) 6 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Manifolds and cell complexes (57-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

55 Publications have been cited 232 times in 142 Documents Cited by Year
On elliptic $$K3$$ surfaces. Zbl 1085.14509
2000
Classification of extremal elliptic $$K3$$ surfaces and fundamental groups of open $$K3$$ surfaces. Zbl 1064.14503
2001
Transcendental lattices and supersingular reduction lattices of a singular $$K3$$ surface. Zbl 1187.14048
2009
Lattice Zariski $$k$$-ples of plane sextic curves and $$Z$$-splitting curves for double plane sextics. Zbl 1230.14041
2010
Lattices of algebraic cycles on Fermat varieties in positive characteristics. Zbl 1074.14508
2001
The automorphism group of a supersingular $$K3$$ surface with Artin invariant 1 in characteristic 3. Zbl 1343.14034
2014
Projective models of the supersingular $$K3$$ surface with Artin invariant 1 in characteristic 5. Zbl 1375.14127
2014
Non-homeomorphic conjugate complex varieties. Zbl 1192.14017
2009
On a smooth quartic surface containing 56 lines which is isomorphic as a $$K3$$ surface to the Fermat quartic. Zbl 1387.14106
2017
On arithmetic Zariski pairs in degree 6. Zbl 1153.14017
2008
Supersingular $$K3$$ surfaces in odd characteristic and sextic double planes. Zbl 1060.14058
2004
Automorphisms of supersingular $$K3$$ surfaces and Salem polynomials. Zbl 1342.14082
2016
An algorithm to compute automorphism groups of $$K3$$ surfaces and an application to singular $$K3$$ surfaces. Zbl 1333.14034
2015
Supersingular $$K3$$ surfaces in characteristic 2 as double covers of a projective plane. Zbl 1080.14047
2004
Equisingular families of plane curves with many connected components. Zbl 1069.14036
2003
On the Zariski-van Kampen theorem. Zbl 1074.14517
2003
A note on Zariski pairs. Zbl 0878.14018
1996
On the topology of projective subspaces in complex Fermat varieties. Zbl 1354.14032
2016
On a certain duality of Néron-Severi lattices of supersingular $$K3$$ surfaces. Zbl 1322.14057
2014
On normal $$K3$$ surfaces. Zbl 1136.14027
2007
Rational double points on supersingular $$K3$$ surfaces. Zbl 1052.14041
2004
Fundamental groups of complements to singular plane curves. Zbl 0956.14012
1997
Fundamental groups of open algebraic varieties. Zbl 0840.14010
1995
The automorphism groups of certain singular $$K3$$ surfaces and an Enriques surface. Zbl 1349.14133
2016
Dynkin diagrams of rank 20 on supersingular $$K3$$ surfaces. Zbl 1316.14071
2015
Generalized Zariski-van Kampen theorem and its application to Grassmannian dual varieties. Zbl 1200.14038
2010
$$K3$$ surfaces with ten cusps. Zbl 1129.14050
2007
Unirationality of certain supersingular $$K3$$ surfaces in characteristic 5. Zbl 1108.14029
2006
A temporal model of animal behavior based on a fractality in the feeding of Drosophila melanogaster. Zbl 0825.92136
Shimada, Ichiro; Kawazoe, Yoshiyuki; Hara, Hiroaki
1993
On the cylinder homomorphisms of Fano complete intersections. Zbl 0743.14027
1990
On an Enriques surface associated with a quartic Hessian surface. Zbl 1409.14068
2019
An even extremal lattice of rank 64. Zbl 1437.11089
2018
On Ballico-Hefez curves and associated supersingular surfaces. Zbl 1321.14030
2015
On the supersingular $$K3$$ surface in characteristic 5 with Artin invariant 1. Zbl 1317.14088
Katsura, Toshiyuki; Kondo, Shigeyuki; Shimada, Ichiro
2014
A note on rational normal curves totally tangent to a Hermitian variety. Zbl 1278.51006
2013
Primitivity of sublattices generated by classes of curves on an algebraic surface. Zbl 1234.14031
2010
Memory effects on scale-free dynamics in foraging Drosophila. Zbl 1405.92309
Koganezawa, Masayuki; Hara, Hiroaki; Hayakawa, Yoshinori; Shimada, Ichiro
2009
Zariski-van Kampen method and transcendental lattices of certain singular $$K3$$ surfaces. Zbl 1182.14035
2009
Singularities of dual varieties in characteristic 2. Zbl 1156.14301
2008
Picard-Lefschetz theory for the universal coverings of complements to affine hypersurfaces. Zbl 0928.14011
1996
On supercuspidal families of curves on a surface in positive characteristic. Zbl 0734.14012
1992
Unirationality of certain complete intersections in positive characteristics. Zbl 0788.14043
1992
Connected components of the moduli of elliptic $$K3$$ surfaces. Zbl 1420.14087
2018
Holes of the Leech lattice and the projective models of $$K3$$ surfaces. Zbl 1386.14141
2017
Singularities of dual varieties in characteristic 3. Zbl 1097.14002
2006
Vanishing cycles, the generalized Hodge conjecture and Gröbner bases. Zbl 1058.14015
2004
Fundamental groups of algebraic fiber spaces. Zbl 1022.14008
2003
Zariski hyperplane section theorem for Grassmannian varieties. Zbl 1074.14516
2003
Fundamental groups of complements to hypersurfaces. Zbl 0952.14012
1998
On the commutativity of fundamental groups of complements to plane curves. Zbl 0928.14016
1998
A generalization of Lefschetz-Zariski theorem on fundamental groups of algebraic varieties. Zbl 0864.14010
1995
Remarks on fundamental groups of complements of divisors on algebraic varieties. Zbl 0843.14007
1994
A construction of algebraic curves whose Jacobians have non-trivial endomorphisms. Zbl 0831.14011
1994
On the cylinder homomorphism for a family of algebraic cycles. Zbl 0756.14004
1991
On the cylinder isomorphism associated to the family of lines on a hypersurface. Zbl 0734.14011
1990
On an Enriques surface associated with a quartic Hessian surface. Zbl 1409.14068
2019
An even extremal lattice of rank 64. Zbl 1437.11089
2018
Connected components of the moduli of elliptic $$K3$$ surfaces. Zbl 1420.14087
2018
On a smooth quartic surface containing 56 lines which is isomorphic as a $$K3$$ surface to the Fermat quartic. Zbl 1387.14106
2017
Holes of the Leech lattice and the projective models of $$K3$$ surfaces. Zbl 1386.14141
2017
Automorphisms of supersingular $$K3$$ surfaces and Salem polynomials. Zbl 1342.14082
2016
On the topology of projective subspaces in complex Fermat varieties. Zbl 1354.14032
2016
The automorphism groups of certain singular $$K3$$ surfaces and an Enriques surface. Zbl 1349.14133
2016
An algorithm to compute automorphism groups of $$K3$$ surfaces and an application to singular $$K3$$ surfaces. Zbl 1333.14034
2015
Dynkin diagrams of rank 20 on supersingular $$K3$$ surfaces. Zbl 1316.14071
2015
On Ballico-Hefez curves and associated supersingular surfaces. Zbl 1321.14030
2015
The automorphism group of a supersingular $$K3$$ surface with Artin invariant 1 in characteristic 3. Zbl 1343.14034
2014
Projective models of the supersingular $$K3$$ surface with Artin invariant 1 in characteristic 5. Zbl 1375.14127
2014
On a certain duality of Néron-Severi lattices of supersingular $$K3$$ surfaces. Zbl 1322.14057
2014
On the supersingular $$K3$$ surface in characteristic 5 with Artin invariant 1. Zbl 1317.14088
Katsura, Toshiyuki; Kondo, Shigeyuki; Shimada, Ichiro
2014
A note on rational normal curves totally tangent to a Hermitian variety. Zbl 1278.51006
2013
Lattice Zariski $$k$$-ples of plane sextic curves and $$Z$$-splitting curves for double plane sextics. Zbl 1230.14041
2010
Generalized Zariski-van Kampen theorem and its application to Grassmannian dual varieties. Zbl 1200.14038
2010
Primitivity of sublattices generated by classes of curves on an algebraic surface. Zbl 1234.14031
2010
Transcendental lattices and supersingular reduction lattices of a singular $$K3$$ surface. Zbl 1187.14048
2009
Non-homeomorphic conjugate complex varieties. Zbl 1192.14017
2009
Memory effects on scale-free dynamics in foraging Drosophila. Zbl 1405.92309
Koganezawa, Masayuki; Hara, Hiroaki; Hayakawa, Yoshinori; Shimada, Ichiro
2009
Zariski-van Kampen method and transcendental lattices of certain singular $$K3$$ surfaces. Zbl 1182.14035
2009
On arithmetic Zariski pairs in degree 6. Zbl 1153.14017
2008
Singularities of dual varieties in characteristic 2. Zbl 1156.14301
2008
On normal $$K3$$ surfaces. Zbl 1136.14027
2007
$$K3$$ surfaces with ten cusps. Zbl 1129.14050
2007
Unirationality of certain supersingular $$K3$$ surfaces in characteristic 5. Zbl 1108.14029
2006
Singularities of dual varieties in characteristic 3. Zbl 1097.14002
2006
Supersingular $$K3$$ surfaces in odd characteristic and sextic double planes. Zbl 1060.14058
2004
Supersingular $$K3$$ surfaces in characteristic 2 as double covers of a projective plane. Zbl 1080.14047
2004
Rational double points on supersingular $$K3$$ surfaces. Zbl 1052.14041
2004
Vanishing cycles, the generalized Hodge conjecture and Gröbner bases. Zbl 1058.14015
2004
Equisingular families of plane curves with many connected components. Zbl 1069.14036
2003
On the Zariski-van Kampen theorem. Zbl 1074.14517
2003
Fundamental groups of algebraic fiber spaces. Zbl 1022.14008
2003
Zariski hyperplane section theorem for Grassmannian varieties. Zbl 1074.14516
2003
Classification of extremal elliptic $$K3$$ surfaces and fundamental groups of open $$K3$$ surfaces. Zbl 1064.14503
2001
Lattices of algebraic cycles on Fermat varieties in positive characteristics. Zbl 1074.14508
2001
On elliptic $$K3$$ surfaces. Zbl 1085.14509
2000
Fundamental groups of complements to hypersurfaces. Zbl 0952.14012
1998
On the commutativity of fundamental groups of complements to plane curves. Zbl 0928.14016
1998
Fundamental groups of complements to singular plane curves. Zbl 0956.14012
1997
A note on Zariski pairs. Zbl 0878.14018
1996
Picard-Lefschetz theory for the universal coverings of complements to affine hypersurfaces. Zbl 0928.14011
1996
Fundamental groups of open algebraic varieties. Zbl 0840.14010
1995
A generalization of Lefschetz-Zariski theorem on fundamental groups of algebraic varieties. Zbl 0864.14010
1995
Remarks on fundamental groups of complements of divisors on algebraic varieties. Zbl 0843.14007
1994
A construction of algebraic curves whose Jacobians have non-trivial endomorphisms. Zbl 0831.14011
1994
A temporal model of animal behavior based on a fractality in the feeding of Drosophila melanogaster. Zbl 0825.92136
Shimada, Ichiro; Kawazoe, Yoshiyuki; Hara, Hiroaki
1993
On supercuspidal families of curves on a surface in positive characteristic. Zbl 0734.14012
1992
Unirationality of certain complete intersections in positive characteristics. Zbl 0788.14043
1992
On the cylinder homomorphism for a family of algebraic cycles. Zbl 0756.14004
1991
On the cylinder homomorphisms of Fano complete intersections. Zbl 0743.14027
1990
On the cylinder isomorphism associated to the family of lines on a hypersurface. Zbl 0734.14011
1990
all top 5

#### Cited by 134 Authors

 27 Shimada, Ichiro 9 Degtyarev, Alex 9 Garbagnati, Alice 9 Schütt, Matthias 5 Sarti, Alessandra 4 Artal Bartolo, Enrique 4 Cogolludo Agustín, José Ignacio 4 Katsura, Toshiyuki 4 Shirane, Taketo 3 Dolgachev, Igor’ Vladimirovich 3 Guerville-Ballé, Benoît 3 Kimura, Yusuke 3 Kondō, Shigeyuki 3 Liedtke, Christian 3 Oguiso, Keiji 3 Salgado, Cecilia 3 Shioda, Tetsuji 3 Zhang, De-Qi 2 Bannai, Shinzo 2 Bertin, Marie-Jose 2 Esnault, Hélène 2 González-Diez, Gabino 2 Hara, Hiroaki 2 Ito, Hiroyuki 2 Jang, Junmyeong 2 Lecacheux, Odile 2 Malmendier, Andreas 2 Oehlmann, Paul-Konstantin 2 Sertöz, Emre Can 2 Torres-Teigell, David 2 Van der Geer, Gerard 2 Voisin, Claire 2 Whitcher, Ursula A. 2 Yang, Jingen 1 Akyol, Ayşegül 1 Aljovin, Enzo 1 Allcock, Daniel Jonathan 1 Anderson, Lara B. 1 Arima, Ken-ichiro 1 Bolognesi, Michele 1 Brandhorst, Simon 1 Bright, Martin 1 Carmona Ruber, Jorge 1 Cattaneo, Andrea 1 Chen, Hao 1 Clingher, Adrian 1 Comparin, Paola 1 Cousin, Gaël 1 Cvetič, Mirjam 1 Dharmasena, Dayal 1 Duc Tai Pho 1 Ekedahl, Torsten 1 Elkies, Noam David 1 Ellenberg, Jordan S. 1 Eyral, Christophe 1 Fukasawa, Satoru 1 Fukui, Kenji 1 Garber, David 1 Grassi, Antonella 1 Gray, James A. 1 Hajouji, Nadir 1 Hanai, Kazumitsu 1 Haraoka, Yoshishige 1 Hassett, Brendan 1 Hausen, Jürgen 1 Hayakawa, Yoshinori 1 Hirokado, Masayuki 1 Hortsch, Ruthi 1 Ito, Kazuhiro 1 Ito, Tetsushi 1 Jones, Gareth A. 1 Kanemoto, S. 1 Katanaga, Atsuko 1 Kawazoe, Yoshiyuki 1 Kemeny, Michael 1 Keum, Jonghae 1 Klevers, Denis 1 Kloosterman, Remke Nanne 1 Koganezawa, Masayuki 1 Kollár, János 1 Koshelev, Dmitriĭ Igorevich 1 Kuno, Yusuke 1 Laface, Antonio 1 Laface, Roberto 1 Lairez, Pierre 1 Lempken, Wolfgang 1 Logan, Adam 1 Lönne, Michael 1 Lubashevskiĭ, Igor’ A. 1 Marco-Buzunáriz, Miguel A. 1 Mase, Makiko 1 Mayrhofer, Christoph 1 Mboro, René 1 McMullen, Curtis Tracy 1 Mehran, Afsaneh 1 Milanov, Todor E. 1 Morrison, David R. 1 Movasati, Hossein 1 Munemasa, Akihiro 1 Nakatomi, Yasuhiro ...and 34 more Authors
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#### Cited in 75 Serials

 7 Journal of High Energy Physics 6 Journal of Pure and Applied Algebra 5 Advances in Mathematics 5 Journal of Algebra 5 Michigan Mathematical Journal 4 Journal of the Mathematical Society of Japan 4 Transactions of the American Mathematical Society 4 Topology and its Applications 4 Revista Matemática Iberoamericana 3 Communications in Algebra 3 Geometriae Dedicata 3 Manuscripta Mathematica 3 European Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal of Number Theory 2 Osaka Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Tohoku Mathematical Journal. Second Series 2 Tokyo Journal of Mathematics 2 International Journal of Mathematics 2 Journal of Knot Theory and its Ramifications 2 Experimental Mathematics 2 Journal of Algebraic Geometry 2 Selecta Mathematica. New Series 2 Taiwanese Journal of Mathematics 2 Advances in Geometry 2 Algebraic & Geometric Topology 2 Journal of Theoretical Biology 1 Biological Cybernetics 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Arkiv för Matematik 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Journal für die Reine und Angewandte Mathematik 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 European Journal of Combinatorics 1 Journal of Symbolic Computation 1 Discrete & Computational Geometry 1 Designs, Codes and Cryptography 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Journal de Théorie des Nombres de Bordeaux 1 Annales Mathématiques Blaise Pascal 1 Finite Fields and their Applications 1 Geometry & Topology 1 Nihonkai Mathematical Journal 1 Milan Journal of Mathematics 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Science China. Mathematics 1 Kyoto Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Forum of Mathematics, Sigma 1 SIAM Journal on Applied Algebra and Geometry 1 Annales Henri Lebesgue
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#### Cited in 21 Fields

 124 Algebraic geometry (14-XX) 19 Number theory (11-XX) 15 Several complex variables and analytic spaces (32-XX) 10 Group theory and generalizations (20-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Quantum theory (81-XX) 5 Manifolds and cell complexes (57-XX) 4 Differential geometry (53-XX) 4 Computer science (68-XX) 4 Relativity and gravitational theory (83-XX) 3 Functions of a complex variable (30-XX) 3 Geometry (51-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Convex and discrete geometry (52-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Ordinary differential equations (34-XX) 1 General topology (54-XX)