Edit Profile (opens in new tab) Kato, Kazuya Co-Author Distance Author ID: kato.kazuya Published as: Kato, Kazuya; Katō, Kazuya External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 118 Publications since 1976, including 4 Books and 13 Additional arXiv Preprints 8 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 43 Co-Authors with 74 Joint Publications 556 Co-Co-Authors all top 5 Co-Authors 49 single-authored 31 Nakayama, Chikara 22 Usui, Sampei 10 Kajiwara, Takeshi 10 Saito, Takeshi 7 Fukaya, Takako 5 Illusie, Luc 5 Saito, Shuji 4 Sharifi, Romyar T. 3 Berthelot, Pierre 3 Coates, John Henry 3 Fontaine, Jean-Marc 3 Rapoport, Michael 2 Bloch, Spencer J. 2 Colliot-Thélène, Jean-Louis 2 de Doncker, Elise 2 Fujisaki, Genjiro 2 Iwasawa, Kenkichi 2 Kurihara, Masato 2 Kurokawa, Nobushige 2 Nakajima, Shōichi 2 Russell, Henrik 2 Satake, Ichirô 2 Ramdorai, Sujatha 2 Yuasa, Fukuko 1 Ballico, Edoardo 1 Filippov, G. F. 1 Fujiki, Akira 1 Fujimoto, Junpei 1 Green, Mark Lee 1 Hamaguchi, Naoki 1 Hyodo, Osamu 1 Ito, Tetsushi 1 Kapenga, John A. 1 Katsura, Toshiyuki 1 Kawamata, Yujiro 1 Korennov, S. V. 1 Kuzumaki, Takako 1 Leal, Isabel 1 Looijenga, Eduard J. N. 1 Matsubara, Toshiharu 1 Messing, William 1 Miyaoka, Yoichi 1 Mochizuki, Shinichi 1 Moriwaki, Atsushi 1 Mukai, Shigeru 1 Olagbemi, O. 1 Rybkin, I. Yu. 1 Shimizu, Yoshimitsu 1 Suzuki, Takashi 1 Tamagawa, Akio 1 Thatte, Vaidehee 1 Trihan, Fabien 1 Venjakob, Otmar 1 Vojta, Paul Alan 1 Yoshida, Hiroyuki all top 5 Serials 9 Proceedings of the Japan Academy. Series A 5 Nagoya Mathematical Journal 5 Kyoto Journal of Mathematics 4 Publications Mathématiques 3 American Journal of Mathematics 3 Journal of the Faculty of Science. Section I A 3 Kodai Mathematical Journal 3 Yokohama Mathematical Journal 3 Journal of Algebraic Geometry 3 Journal of Mathematical Sciences. University of Tokyo 3 Astérisque 2 Computer Physics Communications 2 Inventiones Mathematicae 2 Sūgaku 2 Annals of Mathematics. Second Series 2 Translations of Mathematical Monographs 1 Acustica 1 Journal of Mathematical Physics 1 Annales de l’Institut Fourier 1 Bulletin de la Société Mathématique de France 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 \(K\)-Theory 1 CAD. Computer-Aided Design 1 Historia Scientiarum. Second Series 1 Selecta Mathematica. New Series 1 Documenta Mathematica 1 RIMS Kokyuroku 1 Advanced Studies in Contemporary Mathematics (Pusan) 1 Advanced Studies in Pure Mathematics 1 Annals of Mathematics Studies 1 Lecture Notes in Mathematics 1 RIMS Kôkyûroku Bessatsu 1 Annales Mathématiques du Québec 1 Épijournal de Géométrie Algébrique. EPIGA 1 Springer Collected Works in Mathematics 1 Tunisian Journal of Mathematics all top 5 Fields 93 Algebraic geometry (14-XX) 58 Number theory (11-XX) 19 Several complex variables and analytic spaces (32-XX) 12 \(K\)-theory (19-XX) 8 Field theory and polynomials (12-XX) 7 General and overarching topics; collections (00-XX) 7 Commutative algebra (13-XX) 5 Category theory; homological algebra (18-XX) 4 History and biography (01-XX) 3 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 96 Publications have been cited 2,414 times in 1,493 Documents Cited by ▼ Year ▼ Logarithmic structures of Fontaine-Illusie. Zbl 0776.14004 Kato, Kazuya 258 1989 \(L\)-functions and Tamagawa numbers of motives. Zbl 0768.14001 Bloch, Spencer; Kato, Kazuya 252 1990 \(p\)-adic Hodge theory and values of zeta functions of modular forms. Zbl 1142.11336 Kato, Kazuya 210 2004 \(p\)-adic étale cohomology. Zbl 0613.14017 Bloch, Spencer; Kato, Kazuya 123 1986 Toric singularities. Zbl 0832.14002 Kato, Kazuya 103 1994 The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication. Zbl 1108.11081 Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai; Venjakob, Otmar 97 2005 A generalization of local class field theory by using \(K\)-groups. II. Zbl 0463.12006 Kato, Kazuya 89 1980 A Hasse principle for two dimensional global fields. Appendix by Jean-Louis Colliot-Thélène. Zbl 0576.12012 Kato, Kazuya 84 1986 A formulation of conjectures on \(p\)-adic zeta functions in noncommutative Iwasawa theory. Zbl 1238.11105 Fukaya, Takako; Kato, Kazuya 76 2006 Exposé V: Semi-stable reduction and crystalline cohomology with logarithmic poles. Zbl 0852.14004 Hyodo, Osamu; Kato, Kazuya 69 1994 Unramified class field theory of arithmetical surfaces. Zbl 0562.14011 Kato, Kazuya; Saito, Shuji 64 1983 log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\). Zbl 0957.14015 Kato, Kazuya; Nakayama, Chikara 56 1999 A generalization of local class field theory by using K-groups. I. Zbl 0428.12013 Kato, Kazuya 48 1979 Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two. Zbl 0497.18017 Kato, Kazuya 43 1982 Global class field theory of arithmetic schemes. Zbl 0614.14001 Kato, Kazuya; Saito, Shuji 43 1986 Classifying spaces of degenerating polarized Hodge structures. Zbl 1172.14002 Kato, Kazuya; Usui, Sampei 41 2009 Galois cohomology of complete discrete valuation fields. Zbl 0506.12022 Kato, Kazuya 38 1982 On the conjectures of Birch and Swinnerton-Dyer in characteristic \(p>0\). Zbl 1046.11047 Kato, Kazuya; Trihan, Fabien 35 2003 On the conductor formula of Bloch. Zbl 1099.14009 Kato, Kazuya; Saito, Takeshi 34 2004 Lectures on the approach to Iwasawa theory for Hasse-Weil \(L\)-functions via \(B_{dR}\). Zbl 0815.11051 Kato, Kazuya 34 1993 On p-adic vanishing cycles. (Application of ideas of Fontaine-Messing). Zbl 0645.14009 Kato, Kazuya 31 1987 Swan conductors for characters of degree one in the imperfect residue field case. Zbl 0716.12006 Kato, Kazuya 31 1989 Root numbers, Selmer groups, and non-commutative Iwasawa theory. Zbl 1213.11135 Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai 27 2010 Quasi-unipotent logarithmic Riemann-Hilbert correspondences. Zbl 1082.14024 Illusie, Luc; Kato, Kazuya; Nakayama, Chikara 27 2005 Exposé VI: Semi-stable reduction and \(p\)-adic étale cohomology. Zbl 0847.14009 Kato, Kazuya 26 1994 Vanishing cycles, ramification of valuations, and class field theory. (With the collaboration of Takeshi Saito.). Zbl 0665.14005 Kato, Kazuya 22 1987 \(K_1\) of some non-commutative completed group rings. Zbl 1080.19002 Kato, Kazuya 21 2005 The explicit reciprocity law and the cohomology of Fontaine-Messing. Zbl 0752.14015 Kato, Kazuya 20 1991 Class field theory, \({\mathcal D}\)-modules, and ramification on higher dimensional schemes. I. Zbl 0864.11057 Kato, Kazuya 20 1994 Milnor K-theory and the Chow group of zero cycles. Zbl 0603.14009 Kato, Kazuya 19 1986 Ramification theory for varieties over a perfect field. Zbl 1172.14011 Kato, Kazuya; Saito, Takeshi 19 2008 SL(2)-orbit theorem for degeneration of mixed Hodge structure. Zbl 1144.14005 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 17 2008 Existence theorem for higher local fields. Zbl 1008.11061 Kato, Kazuya 14 2000 Iwasawa theory and \(p\)-adic Hodge theory. Zbl 0798.11050 Kato, Kazuya 14 1993 Euler systems, Iwasawa theory, and Selmer groups. Zbl 0993.11033 Kato, Kazuya 13 1999 The dimension of fields and algebraic \(K\)-theory. Zbl 0608.12029 Kato, Kazuya; Kuzumaki, Takako 13 1986 Duality theories for the \(p\)-primary etale cohomology. I. Zbl 0800.14009 Kato, Kazuya 12 1986 Number theory 2. Introduction to class field theory. Transl. from the Japanese by Masata Kuwata in cooperation with Katsumi Nomizu. Zbl 1232.11120 Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi 11 2011 Logarithmic abelian varieties. I: Complex analytic theory. Zbl 1156.14038 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 11 2008 Logarithmic abelian varieties. Zbl 1169.14031 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 10 2008 A generalization of local class field theory by using K-groups. III. Zbl 0503.12004 Kato, Kazuya 10 1982 Borel-Serre spaces and spaces of SL(2)-orbits. Zbl 1071.14014 Kato, Kazuya; Usui, Sampei 10 2002 Ramification theory for varieties over a local field. Zbl 1290.14011 Kato, Kazuya; Saito, Takeshi 9 2013 Classifying spaces of degenerating mixed Hodge structures. II: Spaces of \(\text{SL}(2)\)-orbits. Zbl 1233.14007 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 8 2011 Classifying spaces of degenerating mixed Hodge structures. I: Borel-Serre spaces. Zbl 1179.14008 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 8 2009 Residue homomorphisms in Milnor K-theory. Zbl 0586.12011 Kato, Kazuya 8 1983 A generalization of local class field theory by using K-groups. II. Zbl 0411.12013 Kato, Kazuya 8 1978 Syntomic cohomology and \(p\)-adic étale cohomology. Zbl 0792.14008 Kato, Kazuya; Messing, William 8 1992 Log \(C^\infty\)-functions and degenerations of Hodge structures. Zbl 1047.14005 Kato, Kazuya; Matsubara, Toshiharu; Nakayama, Chikara 8 2002 Logarithmic abelian varieties. IV: Proper models. Zbl 1329.14090 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 8 2015 Classifying spaces of degenerating mixed Hodge structures. III: Spaces of nilpotent orbits. Zbl 1298.14017 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 8 2013 Artin characters for algebraic surfaces. Zbl 0673.14020 Kato, Kazuya; Saito, Shuji; Saito, Takeshi 7 1988 Universal norms of \(p\)-units in some non-commutative Galois extensions. Zbl 1125.11065 Kato, Kazuya 7 2007 Two dimensional class field theory. Zbl 0544.12011 Kato, Kazuya; Saito, Shuji 7 1983 Logarithmic Hodge structures and classifying spaces. Zbl 0981.14006 Kato, Kazuya; Usui, Sampei 7 2000 Generalized class field theory. Zbl 0827.11073 Kato, Kazuya 7 1991 Heights of motives. Zbl 1314.14048 Kato, Kazuya 7 2014 Log intermediate Jacobians. Zbl 1200.14024 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 7 2010 Swan conductors with differential values. Zbl 0658.12016 Kato, Kazuya 6 1987 Iwasawa theory and generalizations. Zbl 1183.11067 Kato, Kazuya 6 2007 Modulus of a rational map into a commutative algebraic group. Zbl 1206.14069 Kato, Kazuya; Russell, Henrik 6 2010 Moduli of log mixed Hodge structures. Zbl 1209.14008 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 6 2010 Albanese varieties with modulus and Hodge theory. Zbl 1261.14023 Kato, Kazuya; Russell, Henrik 5 2012 Number theory 1. Fermat’s dream. Transl. from the Japanese by Masato Kuwata. Zbl 0953.11003 Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi 5 2000 Generalized explicit reciprocity laws. Zbl 1024.11029 Kato, Kazuya 5 1999 Néron models in log mixed Hodge theory by weak fans. Zbl 1209.14009 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 5 2010 Height functions for motives. Zbl 1453.14079 Kato, Kazuya 4 2018 Analytic log Picard varieties. Zbl 1149.14038 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 4 2008 Modular symbols in Iwasawa theory. Zbl 1359.11086 Fukaya, Takako; Kato, Kazuya; Sharifi, Romyar 4 2014 Classifying spaces of degenerating mixed Hodge structures. IV: The fundamental diagram. Zbl 1423.14073 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 4 2018 \(p\)-adic cohomology and arithmetic applications (II). (Cohomologies \(p\)-adiques et applications arithmétiques (II).) Zbl 0990.00020 3 2002 Generation of \(N\)-sided surface patches with holes. Zbl 0744.65013 Kato, K. 3 1991 A generalization of local class field theory by using K-groups. I. Zbl 0436.12011 Kato, Kazuya 3 1977 Numerical computation of two-loop box diagrams with masses. Zbl 1296.81117 Yuasa, F.; de Doncker, E.; Hamaguchi, N.; Ishikawa, T.; Kato, K.; Kurihara, Y.; Fujimoto, J.; Shimizu, Y. 3 2012 On log motives. Zbl 1444.14015 Ito, Tetsushi; Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 3 2020 Coincidence of two Swan conductors of abelian characters. Zbl 1458.11164 Kato, Kazuya; Saito, Takeshi 3 2019 Logarithmic structures of Fontaine-Illusie. II: Logarithmic flat topology. Zbl 1525.14004 Kato, Kazuya 3 2021 Duality theories for \(p\)-primary étale cohomology. II. Zbl 0651.14011 Kato, Kazuya 2 1987 Analyticity of the closures of some Hodge theoretic subspaces. Zbl 1252.14010 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 2 2011 A generalization of class field theory. Zbl 0717.11050 Kato, Kazuya 2 1988 Duality theories for \(p\)-primary étale cohomology. III. Zbl 1441.14074 Kato, Kazuya; Suzuki, Takashi 2 2019 Logarithmic abelian varieties. VI: Local moduli and GAGF. Zbl 1455.14085 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 2 2019 Logarithmic abelian varieties. III: Logarithmic elliptic curves and modular curves. Zbl 1280.14008 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 2 2013 Class field theory and algebraic K-theory. Zbl 0544.12010 Kato, Kazuya 1 1983 On the complete basis of Pauli-allowed states of three-cluster systems in the Fock-Bargmann space. Zbl 0884.47050 Filippov, G. F.; Rybkin, I. Yu.; Korennov, S. V.; Katō, K. 1 1995 \(p\)-adic period domains and toroidal partial compactifications. I. Zbl 1238.14015 Kato, Kazuya 1 2011 Collected papers. Vol. I, II. Edited by Ichiro Satake, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara and Shoichi Nakajima. Zbl 1021.01006 Iwasawa, Kenkichi 1 2001 Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Zbl 1007.00031 1 2002 \(p\)-adic cohomology and arithmetic applications (III). (Cohomologies \(p\)-adiques et applications arithmétiques (III).) Zbl 1052.00008 1 2004 Extended period domains, algebraic groups, and higher Albanese manifolds. Zbl 1379.14006 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 1 2017 Tamagawa number conjecture for zeta values. Zbl 1146.11320 Kato, Kazuya 1 2002 Modular symbols and the integrality of zeta elements. Zbl 1417.11079 Fukaya, Takako; Kato, Kazuya; Sharifi, Romyar 1 2016 Néron models for admissible normal functions. Zbl 1303.14022 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 1 2014 Regularization with numerical extrapolation for finite and UV-divergent multi-loop integrals. Zbl 07694302 de Doncker, E.; Yuasa, F.; Kato, K.; Ishikawa, T.; Kapenga, J.; Olagbemi, O. 1 2018 Height functions for motives. II. Zbl 1474.14043 Kato, Kazuya 1 2020 Refined Swan conductors \(\mod{p}\) of one-dimensional Galois representations. Zbl 1442.14075 Kato, Kazuya; Leal, Isabel; Saito, Takeshi 1 2019 Logarithmic structures of Fontaine-Illusie. II: Logarithmic flat topology. Zbl 1525.14004 Kato, Kazuya 3 2021 On log motives. Zbl 1444.14015 Ito, Tetsushi; Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 3 2020 Height functions for motives. II. Zbl 1474.14043 Kato, Kazuya 1 2020 Coincidence of two Swan conductors of abelian characters. Zbl 1458.11164 Kato, Kazuya; Saito, Takeshi 3 2019 Duality theories for \(p\)-primary étale cohomology. III. Zbl 1441.14074 Kato, Kazuya; Suzuki, Takashi 2 2019 Logarithmic abelian varieties. VI: Local moduli and GAGF. Zbl 1455.14085 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 2 2019 Refined Swan conductors \(\mod{p}\) of one-dimensional Galois representations. Zbl 1442.14075 Kato, Kazuya; Leal, Isabel; Saito, Takeshi 1 2019 Height functions for motives. Zbl 1453.14079 Kato, Kazuya 4 2018 Classifying spaces of degenerating mixed Hodge structures. IV: The fundamental diagram. Zbl 1423.14073 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 4 2018 Regularization with numerical extrapolation for finite and UV-divergent multi-loop integrals. Zbl 07694302 de Doncker, E.; Yuasa, F.; Kato, K.; Ishikawa, T.; Kapenga, J.; Olagbemi, O. 1 2018 Extended period domains, algebraic groups, and higher Albanese manifolds. Zbl 1379.14006 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 1 2017 Modular symbols and the integrality of zeta elements. Zbl 1417.11079 Fukaya, Takako; Kato, Kazuya; Sharifi, Romyar 1 2016 Logarithmic abelian varieties. IV: Proper models. Zbl 1329.14090 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 8 2015 Heights of motives. Zbl 1314.14048 Kato, Kazuya 7 2014 Modular symbols in Iwasawa theory. Zbl 1359.11086 Fukaya, Takako; Kato, Kazuya; Sharifi, Romyar 4 2014 Néron models for admissible normal functions. Zbl 1303.14022 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 1 2014 Ramification theory for varieties over a local field. Zbl 1290.14011 Kato, Kazuya; Saito, Takeshi 9 2013 Classifying spaces of degenerating mixed Hodge structures. III: Spaces of nilpotent orbits. Zbl 1298.14017 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 8 2013 Logarithmic abelian varieties. III: Logarithmic elliptic curves and modular curves. Zbl 1280.14008 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 2 2013 Albanese varieties with modulus and Hodge theory. Zbl 1261.14023 Kato, Kazuya; Russell, Henrik 5 2012 Numerical computation of two-loop box diagrams with masses. Zbl 1296.81117 Yuasa, F.; de Doncker, E.; Hamaguchi, N.; Ishikawa, T.; Kato, K.; Kurihara, Y.; Fujimoto, J.; Shimizu, Y. 3 2012 Number theory 2. Introduction to class field theory. Transl. from the Japanese by Masata Kuwata in cooperation with Katsumi Nomizu. Zbl 1232.11120 Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi 11 2011 Classifying spaces of degenerating mixed Hodge structures. II: Spaces of \(\text{SL}(2)\)-orbits. Zbl 1233.14007 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 8 2011 Analyticity of the closures of some Hodge theoretic subspaces. Zbl 1252.14010 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 2 2011 \(p\)-adic period domains and toroidal partial compactifications. I. Zbl 1238.14015 Kato, Kazuya 1 2011 Root numbers, Selmer groups, and non-commutative Iwasawa theory. Zbl 1213.11135 Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai 27 2010 Log intermediate Jacobians. Zbl 1200.14024 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 7 2010 Modulus of a rational map into a commutative algebraic group. Zbl 1206.14069 Kato, Kazuya; Russell, Henrik 6 2010 Moduli of log mixed Hodge structures. Zbl 1209.14008 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 6 2010 Néron models in log mixed Hodge theory by weak fans. Zbl 1209.14009 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 5 2010 Classifying spaces of degenerating polarized Hodge structures. Zbl 1172.14002 Kato, Kazuya; Usui, Sampei 41 2009 Classifying spaces of degenerating mixed Hodge structures. I: Borel-Serre spaces. Zbl 1179.14008 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 8 2009 Ramification theory for varieties over a perfect field. Zbl 1172.14011 Kato, Kazuya; Saito, Takeshi 19 2008 SL(2)-orbit theorem for degeneration of mixed Hodge structure. Zbl 1144.14005 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 17 2008 Logarithmic abelian varieties. I: Complex analytic theory. Zbl 1156.14038 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 11 2008 Logarithmic abelian varieties. Zbl 1169.14031 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 10 2008 Analytic log Picard varieties. Zbl 1149.14038 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 4 2008 Universal norms of \(p\)-units in some non-commutative Galois extensions. Zbl 1125.11065 Kato, Kazuya 7 2007 Iwasawa theory and generalizations. Zbl 1183.11067 Kato, Kazuya 6 2007 A formulation of conjectures on \(p\)-adic zeta functions in noncommutative Iwasawa theory. Zbl 1238.11105 Fukaya, Takako; Kato, Kazuya 76 2006 The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication. Zbl 1108.11081 Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai; Venjakob, Otmar 97 2005 Quasi-unipotent logarithmic Riemann-Hilbert correspondences. Zbl 1082.14024 Illusie, Luc; Kato, Kazuya; Nakayama, Chikara 27 2005 \(K_1\) of some non-commutative completed group rings. Zbl 1080.19002 Kato, Kazuya 21 2005 \(p\)-adic Hodge theory and values of zeta functions of modular forms. Zbl 1142.11336 Kato, Kazuya 210 2004 On the conductor formula of Bloch. Zbl 1099.14009 Kato, Kazuya; Saito, Takeshi 34 2004 \(p\)-adic cohomology and arithmetic applications (III). (Cohomologies \(p\)-adiques et applications arithmétiques (III).) Zbl 1052.00008 1 2004 On the conjectures of Birch and Swinnerton-Dyer in characteristic \(p>0\). Zbl 1046.11047 Kato, Kazuya; Trihan, Fabien 35 2003 Borel-Serre spaces and spaces of SL(2)-orbits. Zbl 1071.14014 Kato, Kazuya; Usui, Sampei 10 2002 Log \(C^\infty\)-functions and degenerations of Hodge structures. Zbl 1047.14005 Kato, Kazuya; Matsubara, Toshiharu; Nakayama, Chikara 8 2002 \(p\)-adic cohomology and arithmetic applications (II). (Cohomologies \(p\)-adiques et applications arithmétiques (II).) Zbl 0990.00020 3 2002 Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Zbl 1007.00031 1 2002 Tamagawa number conjecture for zeta values. Zbl 1146.11320 Kato, Kazuya 1 2002 Collected papers. Vol. I, II. Edited by Ichiro Satake, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara and Shoichi Nakajima. Zbl 1021.01006 Iwasawa, Kenkichi 1 2001 Existence theorem for higher local fields. Zbl 1008.11061 Kato, Kazuya 14 2000 Logarithmic Hodge structures and classifying spaces. Zbl 0981.14006 Kato, Kazuya; Usui, Sampei 7 2000 Number theory 1. Fermat’s dream. Transl. from the Japanese by Masato Kuwata. Zbl 0953.11003 Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi 5 2000 log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\). Zbl 0957.14015 Kato, Kazuya; Nakayama, Chikara 56 1999 Euler systems, Iwasawa theory, and Selmer groups. Zbl 0993.11033 Kato, Kazuya 13 1999 Generalized explicit reciprocity laws. Zbl 1024.11029 Kato, Kazuya 5 1999 On the complete basis of Pauli-allowed states of three-cluster systems in the Fock-Bargmann space. Zbl 0884.47050 Filippov, G. F.; Rybkin, I. Yu.; Korennov, S. V.; Katō, K. 1 1995 Toric singularities. Zbl 0832.14002 Kato, Kazuya 103 1994 Exposé V: Semi-stable reduction and crystalline cohomology with logarithmic poles. Zbl 0852.14004 Hyodo, Osamu; Kato, Kazuya 69 1994 Exposé VI: Semi-stable reduction and \(p\)-adic étale cohomology. Zbl 0847.14009 Kato, Kazuya 26 1994 Class field theory, \({\mathcal D}\)-modules, and ramification on higher dimensional schemes. I. Zbl 0864.11057 Kato, Kazuya 20 1994 Lectures on the approach to Iwasawa theory for Hasse-Weil \(L\)-functions via \(B_{dR}\). Zbl 0815.11051 Kato, Kazuya 34 1993 Iwasawa theory and \(p\)-adic Hodge theory. Zbl 0798.11050 Kato, Kazuya 14 1993 Syntomic cohomology and \(p\)-adic étale cohomology. Zbl 0792.14008 Kato, Kazuya; Messing, William 8 1992 The explicit reciprocity law and the cohomology of Fontaine-Messing. Zbl 0752.14015 Kato, Kazuya 20 1991 Generalized class field theory. Zbl 0827.11073 Kato, Kazuya 7 1991 Generation of \(N\)-sided surface patches with holes. Zbl 0744.65013 Kato, K. 3 1991 \(L\)-functions and Tamagawa numbers of motives. Zbl 0768.14001 Bloch, Spencer; Kato, Kazuya 252 1990 Logarithmic structures of Fontaine-Illusie. Zbl 0776.14004 Kato, Kazuya 258 1989 Swan conductors for characters of degree one in the imperfect residue field case. Zbl 0716.12006 Kato, Kazuya 31 1989 Artin characters for algebraic surfaces. Zbl 0673.14020 Kato, Kazuya; Saito, Shuji; Saito, Takeshi 7 1988 A generalization of class field theory. Zbl 0717.11050 Kato, Kazuya 2 1988 On p-adic vanishing cycles. (Application of ideas of Fontaine-Messing). Zbl 0645.14009 Kato, Kazuya 31 1987 Vanishing cycles, ramification of valuations, and class field theory. (With the collaboration of Takeshi Saito.). Zbl 0665.14005 Kato, Kazuya 22 1987 Swan conductors with differential values. Zbl 0658.12016 Kato, Kazuya 6 1987 Duality theories for \(p\)-primary étale cohomology. II. Zbl 0651.14011 Kato, Kazuya 2 1987 \(p\)-adic étale cohomology. Zbl 0613.14017 Bloch, Spencer; Kato, Kazuya 123 1986 A Hasse principle for two dimensional global fields. Appendix by Jean-Louis Colliot-Thélène. Zbl 0576.12012 Kato, Kazuya 84 1986 Global class field theory of arithmetic schemes. Zbl 0614.14001 Kato, Kazuya; Saito, Shuji 43 1986 Milnor K-theory and the Chow group of zero cycles. Zbl 0603.14009 Kato, Kazuya 19 1986 The dimension of fields and algebraic \(K\)-theory. Zbl 0608.12029 Kato, Kazuya; Kuzumaki, Takako 13 1986 Duality theories for the \(p\)-primary etale cohomology. I. Zbl 0800.14009 Kato, Kazuya 12 1986 Unramified class field theory of arithmetical surfaces. Zbl 0562.14011 Kato, Kazuya; Saito, Shuji 64 1983 Residue homomorphisms in Milnor K-theory. Zbl 0586.12011 Kato, Kazuya 8 1983 Two dimensional class field theory. Zbl 0544.12011 Kato, Kazuya; Saito, Shuji 7 1983 Class field theory and algebraic K-theory. Zbl 0544.12010 Kato, Kazuya 1 1983 Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two. Zbl 0497.18017 Kato, Kazuya 43 1982 Galois cohomology of complete discrete valuation fields. Zbl 0506.12022 Kato, Kazuya 38 1982 A generalization of local class field theory by using K-groups. III. Zbl 0503.12004 Kato, Kazuya 10 1982 A generalization of local class field theory by using \(K\)-groups. II. Zbl 0463.12006 Kato, Kazuya 89 1980 A generalization of local class field theory by using K-groups. I. Zbl 0428.12013 Kato, Kazuya 48 1979 A generalization of local class field theory by using K-groups. II. Zbl 0411.12013 Kato, Kazuya 8 1978 A generalization of local class field theory by using K-groups. I. Zbl 0436.12011 Kato, Kazuya 3 1977 all cited Publications top 5 cited Publications all top 5 Cited by 1,057 Authors 42 Kato, Kazuya 31 Lei, Antonio 26 Lim, Meng Fai 22 Nakayama, Chikara 20 Ramdorai, Sujatha 18 Saito, Shuji 16 Usui, Sampei 15 Colliot-Thélène, Jean-Louis 15 Saito, Takeshi 14 Aravire, Roberto 14 Büyükboduk, Kâzim 14 Loeffler, David 14 Parimala, Raman 14 Ray, Anwesh 13 Abramovich, Dan 13 Trihan, Fabien 13 Zerbes, Sarah Livia 12 Kundu, Debanjana 12 Nizioł, Wiesława 12 Suresh, Venapally 11 Burns, David John 11 Chen, Qile 11 Dummigan, Neil 11 Venjakob, Otmar 10 Delbourgo, Daniel 10 Dokchitser, Vladimir 10 Laghribi, Ahmed 9 Binda, Federico 9 Geisser, Thomas H. 9 Gros, Michel 9 Kim, Minhyong 9 Krishna, Amalendu 9 Kurihara, Masato 9 Rülling, Kay 9 Skinner, Christopher M. 9 Talpo, Mattia 9 Temkin, Michael 8 Achinger, Piotr 8 Castella, Francesc 8 Chapman, Adam 8 Iovita, Adrian 8 Kahn, Bruno 8 Kerz, Moritz C. 8 Kings, Guido 8 Longo, Matteo 8 Osipov, Denis Vasil’evich 8 Pál, Ambrus 8 Pearlstein, Gregory J. 8 Sato, Kanetomo 8 Sharifi, Romyar T. 8 Ulirsch, Martin 8 Vostokov, Sergeĭ Vladimirovich 8 Yamazaki, Takao 7 Benois, Denis 7 Burungale, Ashay A. 7 Chinburg, Ted 7 Colmez, Pierre 7 Dokchitser, Tim 7 Hiranouchi, Toshiro 7 Lorscheid, Oliver 7 Mochizuki, Shinichi 7 Nicaise, Johannes 7 Ochiai, Tadashi 7 Olsson, Martin C. 7 Rapinchuk, Igor A. 7 Rotger, Victor 7 Taylor, Martin J. 6 Baeza, Ricardo 6 Balakrishnan, Jennifer S. 6 Bars Cortina, Francesc 6 Brunault, François 6 Chiarellotto, Bruno 6 Fukaya, Takako 6 Große-Klönne, Elmar 6 Huber-Klawitter, Annette 6 Illusie, Luc 6 Izquierdo, Diego 6 Kakde, Mahesh 6 Klosin, Krzysztof 6 Longhi, Ignazio 6 Molcho, Samouil 6 Nickel, Andreas 6 Pappas, Georgios 6 Ray, Jishnu 6 Ruddat, Helge P. 6 Siebert, Bernd 6 Tsuji, Takeshi 6 Ulmer, Douglas L. 6 Wise, Jonathan 6 Witte, Malte 5 Andreatta, Fabrizio 5 Berger, Tobias 5 Bloch, Spencer J. 5 Bräunling, Oliver 5 Brosnan, Patrick 5 Darmon, Henri René 5 Fesenko, Ivan Borisovich 5 Flach, Matthias 5 Jacob, Bill 5 Jannsen, Uwe ...and 957 more Authors all top 5 Cited in 159 Serials 81 Journal of Number Theory 67 Inventiones Mathematicae 64 Compositio Mathematica 53 Duke Mathematical Journal 50 Journal of Algebra 49 Mathematische Annalen 45 Transactions of the American Mathematical Society 43 Mathematische Zeitschrift 43 Journal of Algebraic Geometry 41 Advances in Mathematics 34 Journal de Théorie des Nombres de Bordeaux 31 Manuscripta Mathematica 30 Annales de l’Institut Fourier 28 Journal of Pure and Applied Algebra 25 Documenta Mathematica 24 Proceedings of the American Mathematical Society 23 Journal für die Reine und Angewandte Mathematik 22 Annals of Mathematics. Second Series 22 Journal of the Institute of Mathematics of Jussieu 22 Algebra & Number Theory 21 International Journal of Number Theory 20 Forum of Mathematics, Sigma 19 Kyoto Journal of Mathematics 18 Mathematical Proceedings of the Cambridge Philosophical Society 18 Rendiconti del Seminario Matematico della Università di Padova 17 Nagoya Mathematical Journal 16 Proceedings of the Japan Academy. Series A 16 Tôhoku Mathematical Journal. Second Series 16 Annales Mathématiques du Québec 15 Journal of the American Mathematical Society 15 Journal of the European Mathematical Society (JEMS) 14 Tokyo Journal of Mathematics 14 \(K\)-Theory 14 Research in the Mathematical Sciences 13 Publications Mathématiques 13 Publications of the Research Institute for Mathematical Sciences, Kyoto University 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Israel Journal of Mathematics 12 Selecta Mathematica. New Series 12 The Ramanujan Journal 11 Communications in Algebra 11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 11 Research in Number Theory 10 Acta Arithmetica 10 Geometry & Topology 9 Journal of the London Mathematical Society. Second Series 8 Bulletin de la Société Mathématique de France 7 Kodai Mathematical Journal 7 Forum Mathematicum 7 Tunisian Journal of Mathematics 6 Mathematics of Computation 6 Canadian Mathematical Bulletin 6 Memoirs of the American Mathematical Society 6 Acta Mathematica Sinica. English Series 6 Japanese Journal of Mathematics. 3rd Series 6 European Journal of Mathematics 5 Bulletin of the London Mathematical Society 5 Journal of Soviet Mathematics 5 Mathematische Nachrichten 5 Osaka Journal of Mathematics 5 Oberwolfach Reports 5 Forum of Mathematics, Pi 4 Bulletin of the Australian Mathematical Society 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 American Journal of Mathematics 4 Glasgow Mathematical Journal 4 Proceedings of the London Mathematical Society. Third Series 4 Journal of the Ramanujan Mathematical Society 4 International Journal of Mathematics 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 St. Petersburg Mathematical Journal 4 The New York Journal of Mathematics 4 Sbornik: Mathematics 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Journal of \(K\)-Theory 4 Transactions of the American Mathematical Society. Series B 3 Canadian Journal of Mathematics 3 Journal of the Mathematical Society of Japan 3 Bulletin of the American Mathematical Society. New Series 3 Experimental Mathematics 3 Journal of Algebra and its Applications 3 Proceedings of the Steklov Institute of Mathematics 3 Journal de l’École Polytechnique – Mathématiques 2 Rocky Mountain Journal of Mathematics 2 Journal of Geometry and Physics 2 Archiv der Mathematik 2 Functiones et Approximatio. Commentarii Mathematici 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Revista Matemática Iberoamericana 2 IMRN. International Mathematics Research Notices 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Sciences (New York) 2 Bulletin des Sciences Mathématiques 2 Journal of High Energy Physics 2 La Gaceta de la Real Sociedad Matemática Española 2 Journal of the Australian Mathematical Society 2 Science China. Mathematics 2 Journal of Singularities ...and 59 more Serials all top 5 Cited in 37 Fields 910 Number theory (11-XX) 877 Algebraic geometry (14-XX) 197 \(K\)-theory (19-XX) 79 Field theory and polynomials (12-XX) 74 Commutative algebra (13-XX) 58 Group theory and generalizations (20-XX) 58 Several complex variables and analytic spaces (32-XX) 57 Associative rings and algebras (16-XX) 38 Category theory; homological algebra (18-XX) 26 Algebraic topology (55-XX) 16 Topological groups, Lie groups (22-XX) 14 Nonassociative rings and algebras (17-XX) 14 Differential geometry (53-XX) 14 Manifolds and cell complexes (57-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Combinatorics (05-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 4 Functions of a complex variable (30-XX) 4 Convex and discrete geometry (52-XX) 4 Quantum theory (81-XX) 3 Mathematical logic and foundations (03-XX) 3 General topology (54-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 2 Relativity and gravitational theory (83-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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