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 Videos: carmin.tv Documents Indexed: 120 Publications since 1976, including 4 Books and 14 Additional arXiv Preprints 8 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 43 Co-Authors with 76 Joint Publications 561 Co-Co-Authors all top 5 Co-Authors 49 single-authored 32 Nakayama, Chikara 23 Usui, Sampei 10 Kajiwara, Takeshi 10 Saito, Takeshi 8 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 Sujatha, Ramdorai 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 6 Kyoto Journal of Mathematics 5 Nagoya Mathematical Journal 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 95 Algebraic geometry (14-XX) 59 Number theory (11-XX) 19 Several complex variables and analytic spaces (32-XX) 13 \(K\)-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 99 Publications have been cited 2,653 times in 1,607 Documents Cited by ▼ Year ▼ Logarithmic structures of Fontaine-Illusie. Zbl 0776.14004 Kato, Kazuya 281 1989 \(L\)-functions and Tamagawa numbers of motives. Zbl 0768.14001 Bloch, Spencer; Kato, Kazuya 271 1990 \(p\)-adic Hodge theory and values of zeta functions of modular forms. Zbl 1142.11336 Kato, Kazuya 238 2004 \(p\)-adic étale cohomology. Zbl 0613.14017 Bloch, Spencer; Kato, Kazuya 130 1986 Toric singularities. Zbl 0832.14002 Kato, Kazuya 110 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 99 2005 A Hasse principle for two dimensional global fields. Appendix by Jean-Louis Colliot-Thélène. Zbl 0576.12012 Kato, Kazuya 93 1986 A generalization of local class field theory by using \(K\)-groups. II. Zbl 0463.12006 Kato, Kazuya 92 1980 A formulation of conjectures on \(p\)-adic zeta functions in noncommutative Iwasawa theory. Zbl 1238.11105 Fukaya, Takako; Kato, Kazuya 78 2006 Exposé V: Semi-stable reduction and crystalline cohomology with logarithmic poles. Zbl 0852.14004 Hyodo, Osamu; Kato, Kazuya 71 1994 Unramified class field theory of arithmetical surfaces. Zbl 0562.14011 Kato, Kazuya; Saito, Shuji 69 1983 Galois cohomology of complete discrete valuation fields. Zbl 0506.12022 Kato, Kazuya 60 1982 Global class field theory of arithmetic schemes. Zbl 0614.14001 Kato, Kazuya; Saito, Shuji 59 1986 log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\). Zbl 0957.14015 Kato, Kazuya; Nakayama, Chikara 58 1999 A generalization of local class field theory by using K-groups. I. Zbl 0428.12013 Kato, Kazuya 51 1979 Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two. Zbl 0497.18017 Kato, Kazuya 45 1982 Lectures on the approach to Iwasawa theory for Hasse-Weil \(L\)-functions via \(B_{dR}\). Zbl 0815.11051 Kato, Kazuya 43 1993 Swan conductors for characters of degree one in the imperfect residue field case. Zbl 0716.12006 Kato, Kazuya 42 1989 Classifying spaces of degenerating polarized Hodge structures. Zbl 1172.14002 Kato, Kazuya; Usui, Sampei 41 2009 On p-adic vanishing cycles. (Application of ideas of Fontaine-Messing). Zbl 0645.14009 Kato, Kazuya 37 1987 On the conductor formula of Bloch. Zbl 1099.14009 Kato, Kazuya; Saito, Takeshi 37 2004 On the conjectures of Birch and Swinnerton-Dyer in characteristic \(p>0\). Zbl 1046.11047 Kato, Kazuya; Trihan, Fabien 37 2003 Milnor K-theory and the Chow group of zero cycles. Zbl 0603.14009 Kato, Kazuya 35 1986 Quasi-unipotent logarithmic Riemann-Hilbert correspondences. Zbl 1082.14024 Illusie, Luc; Kato, Kazuya; Nakayama, Chikara 28 2005 Root numbers, Selmer groups, and non-commutative Iwasawa theory. Zbl 1213.11135 Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai 28 2010 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 The explicit reciprocity law and the cohomology of Fontaine-Messing. Zbl 0752.14015 Kato, Kazuya 21 1991 \(K_1\) of some non-commutative completed group rings. Zbl 1080.19002 Kato, Kazuya 21 2005 Class field theory, \({\mathcal D}\)-modules, and ramification on higher dimensional schemes. I. Zbl 0864.11057 Kato, Kazuya 21 1994 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 18 2008 Existence theorem for higher local fields. Zbl 1008.11061 Kato, Kazuya 15 2000 Residue homomorphisms in Milnor K-theory. Zbl 0586.12011 Kato, Kazuya 14 1983 Iwasawa theory and \(p\)-adic Hodge theory. Zbl 0798.11050 Kato, Kazuya 14 1993 The dimension of fields and algebraic \(K\)-theory. Zbl 0608.12029 Kato, Kazuya; Kuzumaki, Takako 13 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 13 2011 Euler systems, Iwasawa theory, and Selmer groups. Zbl 0993.11033 Kato, Kazuya 13 1999 Duality theories for the \(p\)-primary etale cohomology. I. Zbl 0800.14009 Kato, Kazuya 13 1986 Two dimensional class field theory. Zbl 0544.12011 Kato, Kazuya; Saito, Shuji 12 1983 Logarithmic abelian varieties. I: Complex analytic theory. Zbl 1156.14038 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 12 2008 A generalization of local class field theory by using K-groups. III. Zbl 0503.12004 Kato, Kazuya 11 1982 Logarithmic abelian varieties. Zbl 1169.14031 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 11 2008 Borel-Serre spaces and spaces of SL(2)-orbits. Zbl 1071.14014 Kato, Kazuya; Usui, Sampei 10 2002 Logarithmic abelian varieties. IV: Proper models. Zbl 1329.14090 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 9 2015 Ramification theory for varieties over a local field. Zbl 1290.14011 Kato, Kazuya; Saito, Takeshi 9 2013 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 Classifying spaces of degenerating mixed Hodge structures. I: Borel-Serre spaces. Zbl 1179.14008 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 8 2009 Classifying spaces of degenerating mixed Hodge structures. III: Spaces of nilpotent orbits. Zbl 1298.14017 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 8 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 Log \(C^\infty\)-functions and degenerations of Hodge structures. Zbl 1047.14005 Kato, Kazuya; Matsubara, Toshiharu; Nakayama, Chikara 8 2002 Swan conductors with differential values. Zbl 0658.12016 Kato, Kazuya 7 1987 Generalized class field theory. Zbl 0827.11073 Kato, Kazuya 7 1991 Artin characters for algebraic surfaces. Zbl 0673.14020 Kato, Kazuya; Saito, Shuji; Saito, Takeshi 7 1988 Heights of motives. Zbl 1314.14048 Kato, Kazuya 7 2014 Universal norms of \(p\)-units in some non-commutative Galois extensions. Zbl 1125.11065 Kato, Kazuya 7 2007 Log intermediate Jacobians. Zbl 1200.14024 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 7 2010 Logarithmic Hodge structures and classifying spaces. Zbl 0981.14006 Kato, Kazuya; Usui, Sampei 7 2000 Iwasawa theory and generalizations. Zbl 1183.11067 Kato, Kazuya 7 2007 Modulus of a rational map into a commutative algebraic group. Zbl 1206.14069 Kato, Kazuya; Russell, Henrik 6 2010 Number theory 1. Fermat’s dream. Transl. from the Japanese by Masato Kuwata. Zbl 0953.11003 Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi 6 2000 Moduli of log mixed Hodge structures. Zbl 1209.14008 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 6 2010 Class field theory and algebraic K-theory. Zbl 0544.12010 Kato, Kazuya 5 1983 Albanese varieties with modulus and Hodge theory. Zbl 1261.14023 Kato, Kazuya; Russell, Henrik 5 2012 Néron models in log mixed Hodge theory by weak fans. Zbl 1209.14009 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 5 2010 Logarithmic structures of Fontaine-Illusie. II: Logarithmic flat topology. Zbl 1525.14004 Kato, Kazuya 5 2021 On log motives. Zbl 1444.14015 Ito, Tetsushi; Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 5 2020 Generalized explicit reciprocity laws. Zbl 1024.11029 Kato, Kazuya 5 1999 Generation of \(N\)-sided surface patches with holes. Zbl 0744.65013 Kato, K. 4 1991 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 Analytic log Picard varieties. Zbl 1149.14038 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 4 2008 Height functions for motives. Zbl 1453.14079 Kato, Kazuya 4 2018 Duality theories for \(p\)-primary étale cohomology. II. Zbl 0651.14011 Kato, Kazuya 3 1987 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 \(p\)-adic cohomology and arithmetic applications (II). (Cohomologies \(p\)-adiques et applications arithmétiques (II).) Zbl 0990.00020 3 2002 Duality theories for \(p\)-primary étale cohomology. III. Zbl 1441.14074 Kato, Kazuya; Suzuki, Takashi 3 2019 Coincidence of two Swan conductors of abelian characters. Zbl 1458.11164 Kato, Kazuya; Saito, Takeshi 3 2019 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. 2 2018 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 Logarithmic abelian varieties. III: Logarithmic elliptic curves and modular curves. Zbl 1280.14008 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 2 2013 Logarithmic abelian varieties. VI: Local moduli and GAGF. Zbl 1455.14085 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 2 2019 Extended period domains, algebraic groups, and higher Albanese manifolds. Zbl 1379.14006 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 1 2017 On SL(2)-orbit theorems. Zbl 1311.32006 Kato, Kazuya 1 2014 Logarithmic abelian varieties. VII: Moduli. Zbl 1514.14002 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 1 2021 Néron models for admissible normal functions. Zbl 1303.14022 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 1 2014 \(p\)-adic cohomology and arithmetic applications (III). (Cohomologies \(p\)-adiques et applications arithmétiques (III).) Zbl 1052.00008 1 2004 Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Zbl 1007.00031 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 Tamagawa number conjecture for zeta values. Zbl 1146.11320 Kato, Kazuya 1 2002 \(p\)-adic period domains and toroidal partial compactifications. I. Zbl 1238.14015 Kato, Kazuya 1 2011 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 On conjectures of Sharifi. Zbl 07836813 Fukaya, Takako; Kato, Kazuya 1 2024 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 Modular symbols and the integrality of zeta elements. Zbl 1417.11079 Fukaya, Takako; Kato, Kazuya; Sharifi, Romyar 1 2016 On conjectures of Sharifi. Zbl 07836813 Fukaya, Takako; Kato, Kazuya 1 2024 Logarithmic structures of Fontaine-Illusie. II: Logarithmic flat topology. Zbl 1525.14004 Kato, Kazuya 5 2021 Logarithmic abelian varieties. VII: Moduli. Zbl 1514.14002 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 1 2021 On log motives. Zbl 1444.14015 Ito, Tetsushi; Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 5 2020 Height functions for motives. II. Zbl 1474.14043 Kato, Kazuya 1 2020 Duality theories for \(p\)-primary étale cohomology. III. Zbl 1441.14074 Kato, Kazuya; Suzuki, Takashi 3 2019 Coincidence of two Swan conductors of abelian characters. Zbl 1458.11164 Kato, Kazuya; Saito, Takeshi 3 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 Classifying spaces of degenerating mixed Hodge structures. IV: The fundamental diagram. Zbl 1423.14073 Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 4 2018 Height functions for motives. Zbl 1453.14079 Kato, Kazuya 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. 2 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 9 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 On SL(2)-orbit theorems. Zbl 1311.32006 Kato, Kazuya 1 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 13 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 28 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 18 2008 Logarithmic abelian varieties. I: Complex analytic theory. Zbl 1156.14038 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 12 2008 Logarithmic abelian varieties. Zbl 1169.14031 Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 11 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 7 2007 A formulation of conjectures on \(p\)-adic zeta functions in noncommutative Iwasawa theory. Zbl 1238.11105 Fukaya, Takako; Kato, Kazuya 78 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 99 2005 Quasi-unipotent logarithmic Riemann-Hilbert correspondences. Zbl 1082.14024 Illusie, Luc; Kato, Kazuya; Nakayama, Chikara 28 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 238 2004 On the conductor formula of Bloch. Zbl 1099.14009 Kato, Kazuya; Saito, Takeshi 37 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 37 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 15 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 6 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 58 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 110 1994 Exposé V: Semi-stable reduction and crystalline cohomology with logarithmic poles. Zbl 0852.14004 Hyodo, Osamu; Kato, Kazuya 71 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 21 1994 Lectures on the approach to Iwasawa theory for Hasse-Weil \(L\)-functions via \(B_{dR}\). Zbl 0815.11051 Kato, Kazuya 43 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 21 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. 4 1991 \(L\)-functions and Tamagawa numbers of motives. Zbl 0768.14001 Bloch, Spencer; Kato, Kazuya 271 1990 Logarithmic structures of Fontaine-Illusie. Zbl 0776.14004 Kato, Kazuya 281 1989 Swan conductors for characters of degree one in the imperfect residue field case. Zbl 0716.12006 Kato, Kazuya 42 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 37 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 7 1987 Duality theories for \(p\)-primary étale cohomology. II. Zbl 0651.14011 Kato, Kazuya 3 1987 \(p\)-adic étale cohomology. Zbl 0613.14017 Bloch, Spencer; Kato, Kazuya 130 1986 A Hasse principle for two dimensional global fields. Appendix by Jean-Louis Colliot-Thélène. Zbl 0576.12012 Kato, Kazuya 93 1986 Global class field theory of arithmetic schemes. Zbl 0614.14001 Kato, Kazuya; Saito, Shuji 59 1986 Milnor K-theory and the Chow group of zero cycles. Zbl 0603.14009 Kato, Kazuya 35 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 13 1986 Unramified class field theory of arithmetical surfaces. Zbl 0562.14011 Kato, Kazuya; Saito, Shuji 69 1983 Residue homomorphisms in Milnor K-theory. Zbl 0586.12011 Kato, Kazuya 14 1983 Two dimensional class field theory. Zbl 0544.12011 Kato, Kazuya; Saito, Shuji 12 1983 Class field theory and algebraic K-theory. Zbl 0544.12010 Kato, Kazuya 5 1983 Galois cohomology of complete discrete valuation fields. Zbl 0506.12022 Kato, Kazuya 60 1982 Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two. Zbl 0497.18017 Kato, Kazuya 45 1982 A generalization of local class field theory by using K-groups. III. Zbl 0503.12004 Kato, Kazuya 11 1982 A generalization of local class field theory by using \(K\)-groups. II. Zbl 0463.12006 Kato, Kazuya 92 1980 A generalization of local class field theory by using K-groups. I. Zbl 0428.12013 Kato, Kazuya 51 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 1,125 Authors 43 Kato, Kazuya 31 Lei, Antonio 26 Lim, Meng Fai 22 Nakayama, Chikara 22 Sujatha, Ramdorai 19 Saito, Shuji 17 Ray, Anwesh 16 Loeffler, David 16 Usui, Sampei 15 Aravire, Roberto 15 Colliot-Thélène, Jean-Louis 15 Saito, Takeshi 15 Zerbes, Sarah Livia 14 Büyükboduk, Kâzim 14 Krishna, Amalendu 14 Kundu, Debanjana 14 Parimala, Raman 13 Abramovich, Dan 13 Delbourgo, Daniel 13 Trihan, Fabien 12 Dummigan, Neil 12 Nizioł, Wiesława 12 Suresh, Venapally 11 Burns, David John 11 Chen, Qile 11 Geisser, Thomas H. 11 Venjakob, Otmar 10 Binda, Federico 10 Dokchitser, Vladimir 10 Laghribi, Ahmed 10 Talpo, Mattia 9 Burungale, Ashay A. 9 Castella, Francesc 9 Chapman, Adam 9 Gros, Michel 9 Hiranouchi, Toshiro 9 Kim, Minhyong 9 Kurihara, Masato 9 Rülling, Kay 9 Sato, Kanetomo 9 Skinner, Christopher M. 9 Temkin, Michael 9 Ulirsch, Martin 9 Yamazaki, Takao 8 Achinger, Piotr 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 Rapinchuk, Igor A. 8 Sharifi, Romyar T. 8 Vostokov, Sergeĭ Vladimirovich 7 Benois, Denis 7 Brunault, François 7 Chinburg, Ted 7 Colmez, Pierre 7 Darmon, Henri René 7 Dokchitser, Tim 7 Fukaya, Takako 7 Jacob, Bill 7 Lorscheid, Oliver 7 Mochizuki, Shinichi 7 Nicaise, Johannes 7 Ochiai, Tadashi 7 Olsson, Martin C. 7 Rotger, Victor 7 Taylor, Martin J. 7 Wise, Jonathan 6 Baeza, Ricardo 6 Balakrishnan, Jennifer S. 6 Bars Cortina, Francesc 6 Chiarellotto, Bruno 6 Große-Klönne, Elmar 6 Huber-Klawitter, Annette 6 Illusie, Luc 6 Izquierdo, Diego 6 Kakde, Mahesh 6 Klosin, Krzysztof 6 Longhi, Ignazio 6 Mathew, Akhil 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 Witte, Malte 5 Andreatta, Fabrizio 5 Asakura, Masanori 5 Berger, Tobias 5 Bloch, Spencer J. 5 Bräunling, Oliver 5 Brosnan, Patrick 5 Česnavičius, Kęstutis ...and 1,025 more Authors all top 5 Cited in 163 Serials 87 Journal of Number Theory 70 Inventiones Mathematicae 66 Compositio Mathematica 56 Journal of Algebra 53 Duke Mathematical Journal 51 Mathematische Annalen 49 Transactions of the American Mathematical Society 47 Advances in Mathematics 45 Mathematische Zeitschrift 44 Journal of Algebraic Geometry 35 Journal of Pure and Applied Algebra 35 Journal de Théorie des Nombres de Bordeaux 33 Manuscripta Mathematica 32 Annales de l’Institut Fourier 25 Documenta Mathematica 24 Proceedings of the American Mathematical Society 24 Journal of the Institute of Mathematics of Jussieu 23 Journal für die Reine und Angewandte Mathematik 23 Annals of Mathematics. Second Series 23 Algebra & Number Theory 22 International Journal of Number Theory 20 Kyoto Journal of Mathematics 20 Forum of Mathematics, Sigma 19 Rendiconti del Seminario Matematico della Università di Padova 18 Mathematical Proceedings of the Cambridge Philosophical Society 17 Nagoya Mathematical Journal 17 Journal of the European Mathematical Society (JEMS) 17 Annales Mathématiques du Québec 16 Proceedings of the Japan Academy. Series A 16 Tôhoku Mathematical Journal. Second Series 16 Journal of the American Mathematical Society 15 Israel Journal of Mathematics 15 Selecta Mathematica. New Series 14 Tokyo Journal of Mathematics 14 \(K\)-Theory 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Research in the Mathematical Sciences 13 Publications Mathématiques 13 Proceedings of the London Mathematical Society. Third Series 13 Publications of the Research Institute for Mathematical Sciences, Kyoto University 13 The Ramanujan Journal 12 Communications in Algebra 12 Research in Number Theory 11 Acta Arithmetica 11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 11 Journal of the London Mathematical Society. Second Series 10 Geometry & Topology 8 Bulletin of the London Mathematical Society 8 Bulletin de la Société Mathématique de France 8 Memoirs of the American Mathematical Society 8 Tunisian Journal of Mathematics 7 Kodai Mathematical Journal 7 Forum Mathematicum 6 Mathematics of Computation 6 Canadian Mathematical Bulletin 6 Acta Mathematica Sinica. English Series 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 6 Oberwolfach Reports 6 Japanese Journal of Mathematics. 3rd Series 6 Forum of Mathematics, Pi 6 European Journal of Mathematics 5 Journal of Soviet Mathematics 5 Mathematische Nachrichten 5 Osaka Journal of Mathematics 5 Transactions of the American Mathematical Society. Series B 4 Bulletin of the Australian Mathematical Society 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 American Journal of Mathematics 4 Canadian Journal of Mathematics 4 Glasgow Mathematical Journal 4 Journal of the Mathematical Society of Japan 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 Journal of \(K\)-Theory 4 Journal de l’École Polytechnique – Mathématiques 3 Monatshefte für Mathematik 3 Pacific Journal of Mathematics 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 Annals of \(K\)-Theory 2 Rocky Mountain Journal of Mathematics 2 Journal of Geometry and Physics 2 Archiv der Mathematik 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of Differential Geometry 2 Revista Matemática Iberoamericana 2 Publicacions Matemàtiques 2 IMRN. International Mathematics Research Notices 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Indagationes Mathematicae. New Series 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 ...and 63 more Serials all top 5 Cited in 38 Fields 980 Number theory (11-XX) 945 Algebraic geometry (14-XX) 225 \(K\)-theory (19-XX) 84 Field theory and polynomials (12-XX) 81 Commutative algebra (13-XX) 65 Associative rings and algebras (16-XX) 63 Group theory and generalizations (20-XX) 62 Several complex variables and analytic spaces (32-XX) 43 Category theory; homological algebra (18-XX) 32 Algebraic topology (55-XX) 18 Topological groups, Lie groups (22-XX) 16 Differential geometry (53-XX) 15 Nonassociative rings and algebras (17-XX) 15 Manifolds and cell complexes (57-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 History and biography (01-XX) 7 Combinatorics (05-XX) 6 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Functions of a complex variable (30-XX) 4 Convex and discrete geometry (52-XX) 4 Quantum theory (81-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 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Relativity and gravitational theory (83-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-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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