Edit Profile (opens in new tab) Kato, Kazuya Compute Distance To: Compute Author ID: kato.kazuya Published as: Kato, Kazuya; Katō, Kazuya External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 104 Publications since 1976, including 4 Books 8 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 42 Co-Authors with 64 Joint Publications 523 Co-Co-Authors all top 5 Co-Authors 45 single-authored 23 Nakayama, Chikara 16 Usui, Sampei 10 Saito, Takeshi 8 Kajiwara, Takeshi 6 Fukaya, Takako 5 Illusie, Luc 5 Saito, Shuji 3 Berthelot, Pierre 3 Coates, John Henry 3 Fontaine, Jean-Marc 3 Rapoport, Michael 3 Sharifi, Romyar T. 2 Bloch, Spencer J. 2 Colliot-Thélène, Jean-Louis 2 Fujisaki, Genjiro 2 Iwasawa, Kenkichi 2 Kurihara, Masato 2 Kurokawa, Nobushige 2 Nakajima, Shōichi 2 Russell, Henrik 2 Satake, Ichirô 2 Ramdorai, Sujatha 1 Ballico, Edoardo 1 de Doncker, Elise 1 Filippov, G. F. 1 Fujiki, Akira 1 Fujimoto, Junpei 1 Green, Mark Lee 1 Hamaguchi, Naoki 1 Hyodo, Osamu 1 Ito, Tetsushi 1 Katsura, Toshiyuki 1 Kawamata, Yujiro 1 Korennov, S. V. 1 Kume, E. 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 Rybkin, I. Yu. 1 Shimizu, Yoshimitsu 1 Suzuki, Takashi 1 Tamagawa, Akio 1 Trihan, Fabien 1 Venjakob, Otmar 1 Vojta, Paul Alan 1 Watanabe, Tadashi 1 Yoshida, Hiroyuki 1 Yuasa, Fukuko all top 5 Serials 8 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 Inventiones Mathematicae 2 Sūgaku 2 Annals of Mathematics. Second Series 2 Translations of Mathematical Monographs 1 Acustica 1 Computer Physics Communications 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 83 Algebraic geometry (14-XX) 55 Number theory (11-XX) 14 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) 2 Numerical analysis (65-XX) 2 Quantum theory (81-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 93 Publications have been cited 2,130 times in 1,326 Documents Cited by ▼ Year ▼ Logarithmic structures of Fontaine-Illusie. Zbl 0776.14004Kato, Kazuya 231 1989 \(L\)-functions and Tamagawa numbers of motives. Zbl 0768.14001Bloch, Spencer; Kato, Kazuya 230 1990 \(p\)-adic Hodge theory and values of zeta functions of modular forms. Zbl 1142.11336Kato, Kazuya 171 2004 \(p\)-adic étale cohomology. Zbl 0613.14017Bloch, Spencer; Kato, Kazuya 115 1986 Toric singularities. Zbl 0832.14002Kato, Kazuya 98 1994 The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication. Zbl 1108.11081Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai; Venjakob, Otmar 91 2005 A generalization of local class field theory by using \(K\)-groups. II. Zbl 0463.12006Kato, Kazuya 83 1980 A Hasse principle for two dimensional global fields. Appendix by Jean-Louis Colliot-Thélène. Zbl 0576.12012Kato, Kazuya 73 1986 A formulation of conjectures on \(p\)-adic zeta functions in noncommutative Iwasawa theory. Zbl 1238.11105Fukaya, Takako; Kato, Kazuya 65 2006 Exposé V: Semi-stable reduction and crystalline cohomology with logarithmic poles. Zbl 0852.14004Hyodo, Osamu; Kato, Kazuya 64 1994 Unramified class field theory of arithmetical surfaces. Zbl 0562.14011Kato, Kazuya; Saito, Shuji 61 1983 log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\). Zbl 0957.14015Kato, Kazuya; Nakayama, Chikara 50 1999 A generalization of local class field theory by using K-groups. I. Zbl 0428.12013Kato, Kazuya 47 1979 Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two. Zbl 0497.18017Kato, Kazuya 37 1982 Classifying spaces of degenerating polarized Hodge structures. Zbl 1172.14002Kato, Kazuya; Usui, Sampei 35 2009 On the conjectures of Birch and Swinnerton-Dyer in characteristic \(p>0\). Zbl 1046.11047Kato, Kazuya; Trihan, Fabien 34 2003 Global class field theory of arithmetic schemes. Zbl 0614.14001Kato, Kazuya; Saito, Shuji 29 1986 On the conductor formula of Bloch. Zbl 1099.14009Kato, Kazuya; Saito, Takeshi 29 2004 Galois cohomology of complete discrete valuation fields. Zbl 0506.12022Kato, Kazuya 26 1982 On p-adic vanishing cycles. (Application of ideas of Fontaine-Messing). Zbl 0645.14009Kato, Kazuya 24 1987 Exposé VI: Semi-stable reduction and \(p\)-adic étale cohomology. Zbl 0847.14009Kato, Kazuya 24 1994 Lectures on the approach to Iwasawa theory for Hasse-Weil \(L\)-functions via \(B_{dR}\). Zbl 0815.11051Kato, Kazuya 23 1993 Swan conductors for characters of degree one in the imperfect residue field case. Zbl 0716.12006Kato, Kazuya 22 1989 Root numbers, Selmer groups, and non-commutative Iwasawa theory. Zbl 1213.11135Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai 22 2010 Vanishing cycles, ramification of valuations, and class field theory. (With the collaboration of Takeshi Saito.). Zbl 0665.14005Kato, Kazuya 22 1987 Class field theory, \({\mathcal D}\)-modules, and ramification on higher dimensional schemes. I. Zbl 0864.11057Kato, Kazuya 21 1994 Quasi-unipotent logarithmic Riemann-Hilbert correspondences. Zbl 1082.14024Illusie, Luc; Kato, Kazuya; Nakayama, Chikara 21 2005 Ramification theory for varieties over a perfect field. Zbl 1172.14011Kato, Kazuya; Saito, Takeshi 20 2008 The explicit reciprocity law and the cohomology of Fontaine-Messing. Zbl 0752.14015Kato, Kazuya 19 1991 \(K_1\) of some non-commutative completed group rings. Zbl 1080.19002Kato, Kazuya 19 2005 SL(2)-orbit theorem for degeneration of mixed Hodge structure. Zbl 1144.14005Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 17 2008 Existence theorem for higher local fields. Zbl 1008.11061Kato, Kazuya 15 2000 Milnor K-theory and the Chow group of zero cycles. Zbl 0603.14009Kato, Kazuya 14 1986 Euler systems, Iwasawa theory, and Selmer groups. Zbl 0993.11033Kato, Kazuya 13 1999 The dimension of fields and algebraic \(K\)-theory. Zbl 0608.12029Kato, Kazuya; Kuzumaki, Takako 12 1986 Iwasawa theory and \(p\)-adic Hodge theory. Zbl 0798.11050Kato, Kazuya 11 1993 Logarithmic abelian varieties. I: Complex analytic theory. Zbl 1156.14038Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 10 2008 Borel-Serre spaces and spaces of SL(2)-orbits. Zbl 1071.14014Kato, Kazuya; Usui, Sampei 9 2002 A generalization of local class field theory by using K-groups. III. Zbl 0503.12004Kato, Kazuya 9 1982 Duality theories for the \(p\)-primary etale cohomology. I. Zbl 0800.14009Kato, Kazuya 9 1986 Logarithmic abelian varieties. Zbl 1169.14031Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 9 2008 A generalization of local class field theory by using K-groups. II. Zbl 0411.12013Kato, Kazuya 8 1978 Logarithmic abelian varieties. IV: Proper models. Zbl 1329.14090Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 8 2015 Ramification theory for varieties over a local field. Zbl 1290.14011Kato, Kazuya; Saito, Takeshi 8 2013 Classifying spaces of degenerating mixed Hodge structures. I: Borel-Serre spaces. Zbl 1179.14008Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 8 2009 Classifying spaces of degenerating mixed Hodge structures. III: Spaces of nilpotent orbits. Zbl 1298.14017Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 8 2013 Generalized class field theory. Zbl 0827.11073Kato, Kazuya 7 1991 Residue homomorphisms in Milnor K-theory. Zbl 0586.12011Kato, Kazuya 7 1983 Log \(C^\infty\)-functions and degenerations of Hodge structures. Zbl 1047.14005Kato, Kazuya; Matsubara, Toshiharu; Nakayama, Chikara 7 2002 Log intermediate Jacobians. Zbl 1200.14024Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 7 2010 Classifying spaces of degenerating mixed Hodge structures. II: Spaces of \(\text{SL}(2)\)-orbits. Zbl 1233.14007Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 7 2011 Logarithmic Hodge structures and classifying spaces. Zbl 0981.14006Kato, Kazuya; Usui, Sampei 7 2000 Syntomic cohomology and \(p\)-adic étale cohomology. Zbl 0792.14008Kato, Kazuya; Messing, William 7 1992 Artin characters for algebraic surfaces. Zbl 0673.14020Kato, Kazuya; Saito, Shuji; Saito, Takeshi 6 1988 Universal norms of \(p\)-units in some non-commutative Galois extensions. Zbl 1125.11065Kato, Kazuya 6 2007 Moduli of log mixed Hodge structures. Zbl 1209.14008Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 6 2010 Number theory 2. Introduction to class field theory. Transl. from the Japanese by Masata Kuwata in cooperation with Katsumi Nomizu. Zbl 1232.11120Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi 6 2011 Two dimensional class field theory. Zbl 0544.12011Kato, Kazuya; Saito, Shuji 5 1983 Heights of motives. Zbl 1314.14048Kato, Kazuya 5 2014 Néron models in log mixed Hodge theory by weak fans. Zbl 1209.14009Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 5 2010 Albanese varieties with modulus and Hodge theory. Zbl 1261.14023Kato, Kazuya; Russell, Henrik 5 2012 Generalized explicit reciprocity laws. Zbl 1024.11029Kato, Kazuya 5 1999 Iwasawa theory and generalizations. Zbl 1183.11067Kato, Kazuya 5 2007 Modulus of a rational map into a commutative algebraic group. Zbl 1206.14069Kato, Kazuya; Russell, Henrik 4 2010 Analytic log Picard varieties. Zbl 1149.14038Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 4 2008 Swan conductors with differential values. Zbl 0658.12016Kato, Kazuya 4 1987 Coincidence of two Swan conductors of abelian characters. Zbl 1458.11164Kato, Kazuya; Saito, Takeshi 3 2019 Height functions for motives. Zbl 1453.14079Kato, Kazuya 3 2018 Classifying spaces of degenerating mixed Hodge structures. IV: The fundamental diagram. Zbl 1423.14073Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 3 2018 Number theory 1. Fermat’s dream. Transl. from the Japanese by Masato Kuwata. Zbl 0953.11003Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi 3 2000 A generalization of local class field theory by using K-groups. I. Zbl 0436.12011Kato, Kazuya 3 1977 On log motives. Zbl 1444.14015Ito, Tetsushi; Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 2 2020 Generation of \(N\)-sided surface patches with holes. Zbl 0744.65013Kato, K. 2 1991 Modular symbols in Iwasawa theory. Zbl 1359.11086Fukaya, Takako; Kato, Kazuya; Sharifi, Romyar 2 2014 Néron models for admissible normal functions. Zbl 1303.14022Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 2 2014 Logarithmic abelian varieties. III: Logarithmic elliptic curves and modular curves. Zbl 1280.14008Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 2 2013 \(p\)-adic cohomology and arithmetic applications (II). (Cohomologies \(p\)-adiques et applications arithmétiques (II).) Zbl 0990.00020 2 2002 Logarithmic abelian varieties. VI: Local moduli and GAGF. Zbl 1455.14085Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 2 2019 Numerical computation of two-loop box diagrams with masses. Zbl 1296.81117Yuasa, F.; de Doncker, E.; Hamaguchi, N.; Ishikawa, T.; Kato, K.; Kurihara, Y.; Fujimoto, J.; Shimizu, Y. 2 2012 A generalization of class field theory. Zbl 0717.11050Kato, Kazuya 2 1988 Analyticity of the closures of some Hodge theoretic subspaces. Zbl 1252.14010Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 2 2011 Class field theory and algebraic K-theory. Zbl 0544.12010Kato, Kazuya 1 1983 Duality theories for \(p\)-primary étale cohomology. III. Zbl 1441.14074Kato, Kazuya; Suzuki, Takashi 1 2019 Modular symbols and the integrality of zeta elements. Zbl 1417.11079Fukaya, Takako; Kato, Kazuya; Sharifi, Romyar 1 2016 On the complete basis of Pauli-allowed states of three-cluster systems in the Fock-Bargmann space. Zbl 0884.47050Filippov, G. F.; Rybkin, I. Yu.; Korennov, S. V.; Katō, K. 1 1995 Extended period domains, algebraic groups, and higher Albanese manifolds. Zbl 1379.14006Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 1 2017 \(p\)-adic period domains and toroidal partial compactifications. I. Zbl 1238.14015Kato, Kazuya 1 2011 Duality theories for \(p\)-primary étale cohomology. II. Zbl 0651.14011Kato, Kazuya 1 1987 Collected papers. Vol. I, II. Edited by Ichiro Satake, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara and Shoichi Nakajima. Zbl 1021.01006Iwasawa, 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 Height functions for motives. II. Zbl 1474.14043Kato, Kazuya 1 2020 Logarithmic structures of Fontaine-Illusie. II: Logarithmic flat topology. Zbl 07394484Kato, Kazuya 1 2021 Logarithmic structures of Fontaine-Illusie. II: Logarithmic flat topology. Zbl 07394484Kato, Kazuya 1 2021 On log motives. Zbl 1444.14015Ito, Tetsushi; Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 2 2020 Height functions for motives. II. Zbl 1474.14043Kato, Kazuya 1 2020 Coincidence of two Swan conductors of abelian characters. Zbl 1458.11164Kato, Kazuya; Saito, Takeshi 3 2019 Logarithmic abelian varieties. VI: Local moduli and GAGF. Zbl 1455.14085Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 2 2019 Duality theories for \(p\)-primary étale cohomology. III. Zbl 1441.14074Kato, Kazuya; Suzuki, Takashi 1 2019 Height functions for motives. Zbl 1453.14079Kato, Kazuya 3 2018 Classifying spaces of degenerating mixed Hodge structures. IV: The fundamental diagram. Zbl 1423.14073Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 3 2018 Extended period domains, algebraic groups, and higher Albanese manifolds. Zbl 1379.14006Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 1 2017 Modular symbols and the integrality of zeta elements. Zbl 1417.11079Fukaya, Takako; Kato, Kazuya; Sharifi, Romyar 1 2016 Logarithmic abelian varieties. IV: Proper models. Zbl 1329.14090Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 8 2015 Heights of motives. Zbl 1314.14048Kato, Kazuya 5 2014 Modular symbols in Iwasawa theory. Zbl 1359.11086Fukaya, Takako; Kato, Kazuya; Sharifi, Romyar 2 2014 Néron models for admissible normal functions. Zbl 1303.14022Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 2 2014 Ramification theory for varieties over a local field. Zbl 1290.14011Kato, Kazuya; Saito, Takeshi 8 2013 Classifying spaces of degenerating mixed Hodge structures. III: Spaces of nilpotent orbits. Zbl 1298.14017Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 8 2013 Logarithmic abelian varieties. III: Logarithmic elliptic curves and modular curves. Zbl 1280.14008Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 2 2013 Albanese varieties with modulus and Hodge theory. Zbl 1261.14023Kato, Kazuya; Russell, Henrik 5 2012 Numerical computation of two-loop box diagrams with masses. Zbl 1296.81117Yuasa, F.; de Doncker, E.; Hamaguchi, N.; Ishikawa, T.; Kato, K.; Kurihara, Y.; Fujimoto, J.; Shimizu, Y. 2 2012 Classifying spaces of degenerating mixed Hodge structures. II: Spaces of \(\text{SL}(2)\)-orbits. Zbl 1233.14007Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 7 2011 Number theory 2. Introduction to class field theory. Transl. from the Japanese by Masata Kuwata in cooperation with Katsumi Nomizu. Zbl 1232.11120Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi 6 2011 Analyticity of the closures of some Hodge theoretic subspaces. Zbl 1252.14010Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 2 2011 \(p\)-adic period domains and toroidal partial compactifications. I. Zbl 1238.14015Kato, Kazuya 1 2011 Root numbers, Selmer groups, and non-commutative Iwasawa theory. Zbl 1213.11135Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai 22 2010 Log intermediate Jacobians. Zbl 1200.14024Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 7 2010 Moduli of log mixed Hodge structures. Zbl 1209.14008Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 6 2010 Néron models in log mixed Hodge theory by weak fans. Zbl 1209.14009Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 5 2010 Modulus of a rational map into a commutative algebraic group. Zbl 1206.14069Kato, Kazuya; Russell, Henrik 4 2010 Classifying spaces of degenerating polarized Hodge structures. Zbl 1172.14002Kato, Kazuya; Usui, Sampei 35 2009 Classifying spaces of degenerating mixed Hodge structures. I: Borel-Serre spaces. Zbl 1179.14008Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 8 2009 Ramification theory for varieties over a perfect field. Zbl 1172.14011Kato, Kazuya; Saito, Takeshi 20 2008 SL(2)-orbit theorem for degeneration of mixed Hodge structure. Zbl 1144.14005Kato, Kazuya; Nakayama, Chikara; Usui, Sampei 17 2008 Logarithmic abelian varieties. I: Complex analytic theory. Zbl 1156.14038Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 10 2008 Logarithmic abelian varieties. Zbl 1169.14031Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 9 2008 Analytic log Picard varieties. Zbl 1149.14038Kajiwara, Takeshi; Kato, Kazuya; Nakayama, Chikara 4 2008 Universal norms of \(p\)-units in some non-commutative Galois extensions. Zbl 1125.11065Kato, Kazuya 6 2007 Iwasawa theory and generalizations. Zbl 1183.11067Kato, Kazuya 5 2007 A formulation of conjectures on \(p\)-adic zeta functions in noncommutative Iwasawa theory. Zbl 1238.11105Fukaya, Takako; Kato, Kazuya 65 2006 The \(\text{GL}_2\) main conjecture for elliptic curves without complex multiplication. Zbl 1108.11081Coates, John; Fukaya, Takako; Kato, Kazuya; Sujatha, Ramdorai; Venjakob, Otmar 91 2005 Quasi-unipotent logarithmic Riemann-Hilbert correspondences. Zbl 1082.14024Illusie, Luc; Kato, Kazuya; Nakayama, Chikara 21 2005 \(K_1\) of some non-commutative completed group rings. Zbl 1080.19002Kato, Kazuya 19 2005 \(p\)-adic Hodge theory and values of zeta functions of modular forms. Zbl 1142.11336Kato, Kazuya 171 2004 On the conductor formula of Bloch. Zbl 1099.14009Kato, Kazuya; Saito, Takeshi 29 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 1046.11047Kato, Kazuya; Trihan, Fabien 34 2003 Borel-Serre spaces and spaces of SL(2)-orbits. Zbl 1071.14014Kato, Kazuya; Usui, Sampei 9 2002 Log \(C^\infty\)-functions and degenerations of Hodge structures. Zbl 1047.14005Kato, Kazuya; Matsubara, Toshiharu; Nakayama, Chikara 7 2002 \(p\)-adic cohomology and arithmetic applications (II). (Cohomologies \(p\)-adiques et applications arithmétiques (II).) Zbl 0990.00020 2 2002 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 1021.01006Iwasawa, Kenkichi 1 2001 Existence theorem for higher local fields. Zbl 1008.11061Kato, Kazuya 15 2000 Logarithmic Hodge structures and classifying spaces. Zbl 0981.14006Kato, Kazuya; Usui, Sampei 7 2000 Number theory 1. Fermat’s dream. Transl. from the Japanese by Masato Kuwata. Zbl 0953.11003Kato, Kazuya; Kurokawa, Nobushige; Saito, Takeshi 3 2000 log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\). Zbl 0957.14015Kato, Kazuya; Nakayama, Chikara 50 1999 Euler systems, Iwasawa theory, and Selmer groups. Zbl 0993.11033Kato, Kazuya 13 1999 Generalized explicit reciprocity laws. Zbl 1024.11029Kato, Kazuya 5 1999 On the complete basis of Pauli-allowed states of three-cluster systems in the Fock-Bargmann space. Zbl 0884.47050Filippov, G. F.; Rybkin, I. Yu.; Korennov, S. V.; Katō, K. 1 1995 Toric singularities. Zbl 0832.14002Kato, Kazuya 98 1994 Exposé V: Semi-stable reduction and crystalline cohomology with logarithmic poles. Zbl 0852.14004Hyodo, Osamu; Kato, Kazuya 64 1994 Exposé VI: Semi-stable reduction and \(p\)-adic étale cohomology. Zbl 0847.14009Kato, Kazuya 24 1994 Class field theory, \({\mathcal D}\)-modules, and ramification on higher dimensional schemes. I. Zbl 0864.11057Kato, Kazuya 21 1994 Lectures on the approach to Iwasawa theory for Hasse-Weil \(L\)-functions via \(B_{dR}\). Zbl 0815.11051Kato, Kazuya 23 1993 Iwasawa theory and \(p\)-adic Hodge theory. Zbl 0798.11050Kato, Kazuya 11 1993 Syntomic cohomology and \(p\)-adic étale cohomology. Zbl 0792.14008Kato, Kazuya; Messing, William 7 1992 The explicit reciprocity law and the cohomology of Fontaine-Messing. Zbl 0752.14015Kato, Kazuya 19 1991 Generalized class field theory. Zbl 0827.11073Kato, Kazuya 7 1991 Generation of \(N\)-sided surface patches with holes. Zbl 0744.65013Kato, K. 2 1991 \(L\)-functions and Tamagawa numbers of motives. Zbl 0768.14001Bloch, Spencer; Kato, Kazuya 230 1990 Logarithmic structures of Fontaine-Illusie. Zbl 0776.14004Kato, Kazuya 231 1989 Swan conductors for characters of degree one in the imperfect residue field case. Zbl 0716.12006Kato, Kazuya 22 1989 Artin characters for algebraic surfaces. Zbl 0673.14020Kato, Kazuya; Saito, Shuji; Saito, Takeshi 6 1988 A generalization of class field theory. Zbl 0717.11050Kato, Kazuya 2 1988 On p-adic vanishing cycles. (Application of ideas of Fontaine-Messing). Zbl 0645.14009Kato, Kazuya 24 1987 Vanishing cycles, ramification of valuations, and class field theory. (With the collaboration of Takeshi Saito.). Zbl 0665.14005Kato, Kazuya 22 1987 Swan conductors with differential values. Zbl 0658.12016Kato, Kazuya 4 1987 Duality theories for \(p\)-primary étale cohomology. II. Zbl 0651.14011Kato, Kazuya 1 1987 \(p\)-adic étale cohomology. Zbl 0613.14017Bloch, Spencer; Kato, Kazuya 115 1986 A Hasse principle for two dimensional global fields. Appendix by Jean-Louis Colliot-Thélène. Zbl 0576.12012Kato, Kazuya 73 1986 Global class field theory of arithmetic schemes. Zbl 0614.14001Kato, Kazuya; Saito, Shuji 29 1986 Milnor K-theory and the Chow group of zero cycles. Zbl 0603.14009Kato, Kazuya 14 1986 The dimension of fields and algebraic \(K\)-theory. Zbl 0608.12029Kato, Kazuya; Kuzumaki, Takako 12 1986 Duality theories for the \(p\)-primary etale cohomology. I. Zbl 0800.14009Kato, Kazuya 9 1986 Unramified class field theory of arithmetical surfaces. Zbl 0562.14011Kato, Kazuya; Saito, Shuji 61 1983 Residue homomorphisms in Milnor K-theory. Zbl 0586.12011Kato, Kazuya 7 1983 Two dimensional class field theory. Zbl 0544.12011Kato, Kazuya; Saito, Shuji 5 1983 Class field theory and algebraic K-theory. Zbl 0544.12010Kato, Kazuya 1 1983 Symmetric bilinear forms, quadratic forms and Milnor K-theory in characteristic two. Zbl 0497.18017Kato, Kazuya 37 1982 Galois cohomology of complete discrete valuation fields. Zbl 0506.12022Kato, Kazuya 26 1982 A generalization of local class field theory by using K-groups. III. Zbl 0503.12004Kato, Kazuya 9 1982 A generalization of local class field theory by using \(K\)-groups. II. Zbl 0463.12006Kato, Kazuya 83 1980 A generalization of local class field theory by using K-groups. I. Zbl 0428.12013Kato, Kazuya 47 1979 A generalization of local class field theory by using K-groups. II. Zbl 0411.12013Kato, Kazuya 8 1978 A generalization of local class field theory by using K-groups. I. Zbl 0436.12011Kato, Kazuya 3 1977 all cited Publications top 5 cited Publications all top 5 Cited by 973 Authors 41 Kato, Kazuya 28 Lei, Antonio 22 Lim, Meng Fai 20 Nakayama, Chikara 15 Saito, Shuji 15 Usui, Sampei 14 Aravire, Roberto 14 Colliot-Thélène, Jean-Louis 14 Saito, Takeshi 13 Loeffler, David 13 Parimala, Raman 13 Trihan, Fabien 13 Zerbes, Sarah Livia 12 Abramovich, Dan 12 Büyükboduk, Kâzim 12 Ramdorai, Sujatha 12 Suresh, Venapally 11 Chen, Qile 11 Dummigan, Neil 11 Nizioł, Wiesława 10 Burns, David John 10 Delbourgo, Daniel 9 Gros, Michel 9 Kim, Minhyong 9 Skinner, Christopher M. 9 Talpo, Mattia 9 Temkin, Michael 8 Castella, Francesc 8 Geisser, Thomas H. 8 Iovita, Adrian 8 Kundu, Debanjana 8 Kurihara, Masato 8 Laghribi, Ahmed 8 Longo, Matteo 8 Pál, Ambrus 8 Sato, Kanetomo 8 Sharifi, Romyar T. 8 Ulirsch, Martin 8 Vostokov, Sergeĭ Vladimirovich 8 Yamazaki, Takao 7 Achinger, Piotr 7 Benois, Denis 7 Dokchitser, Vladimir 7 Kahn, Bruno 7 Kerz, Moritz C. 7 Kings, Guido 7 Lorscheid, Oliver 7 Mochizuki, Shinichi 7 Nicaise, Johannes 7 Ochiai, Tadashi 7 Olsson, Martin C. 7 Osipov, Denis Vasil’evich 7 Pearlstein, Gregory J. 7 Ray, Anwesh 7 Rotger, Victor 7 Rülling, Kay 7 Venjakob, Otmar 6 Baeza, Ricardo 6 Balakrishnan, Jennifer S. 6 Bars Cortina, Francesc 6 Chapman, Adam 6 Chinburg, Ted 6 Colmez, Pierre 6 Dokchitser, Tim 6 Fukaya, Takako 6 Große-Klönne, Elmar 6 Hiranouchi, Toshiro 6 Klosin, Krzysztof 6 Krishna, Amalendu 6 Longhi, Ignazio 6 Rapinchuk, Igor A. 6 Ray, Jishnu 6 Siebert, Bernd 6 Taylor, Martin J. 6 Tsuji, Takeshi 6 Ulmer, Douglas L. 6 Wise, Jonathan 6 Witte, Malte 5 Andreatta, Fabrizio 5 Berger, Tobias 5 Binda, Federico 5 Bräunling, Oliver 5 Brosnan, Patrick 5 Brunault, François 5 Burungale, Ashay A. 5 Chiarellotto, Bruno 5 Darmon, Henri René 5 Fesenko, Ivan Borisovich 5 Flach, Matthias 5 Huber-Klawitter, Annette 5 Illusie, Luc 5 Izquierdo, Diego 5 Jacob, Bill 5 Jannsen, Uwe 5 Kakde, Mahesh 5 Kim, Byoung Du 5 Lan, Kai-Wen 5 Morrow, Matthew 5 Nguyen Quang Do, Thong 5 Nickel, Andreas ...and 873 more Authors all top 5 Cited in 144 Serials 79 Journal of Number Theory 63 Inventiones Mathematicae 59 Compositio Mathematica 52 Duke Mathematical Journal 49 Journal of Algebra 46 Mathematische Annalen 42 Mathematische Zeitschrift 42 Transactions of the American Mathematical Society 41 Journal of Algebraic Geometry 37 Advances in Mathematics 31 Journal de Théorie des Nombres de Bordeaux 28 Annales de l’Institut Fourier 26 Manuscripta Mathematica 24 Journal of Pure and Applied Algebra 24 Proceedings of the American Mathematical Society 22 Annals of Mathematics. Second Series 21 Documenta Mathematica 20 Journal für die Reine und Angewandte Mathematik 18 Journal of the Institute of Mathematics of Jussieu 18 International Journal of Number Theory 18 Forum of Mathematics, Sigma 17 Rendiconti del Seminario Matematico della Università di Padova 17 Kyoto Journal of Mathematics 16 Mathematical Proceedings of the Cambridge Philosophical Society 16 Nagoya Mathematical Journal 16 Annales Mathématiques du Québec 15 Proceedings of the Japan Academy. Series A 15 Tôhoku Mathematical Journal. Second Series 15 Journal of the American Mathematical Society 15 Algebra & Number Theory 14 \(K\)-Theory 13 Publications Mathématiques 13 Journal of the European Mathematical Society (JEMS) 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Israel Journal of Mathematics 12 Publications of the Research Institute for Mathematical Sciences, Kyoto University 12 Tokyo Journal of Mathematics 11 Communications in Algebra 11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 11 Research in the Mathematical Sciences 10 Selecta Mathematica. New Series 10 Geometry & Topology 10 Research in Number Theory 9 The Ramanujan Journal 8 Acta Arithmetica 7 Bulletin de la Société Mathématique de France 7 Kodai Mathematical Journal 7 Forum Mathematicum 6 Mathematics of Computation 6 Acta Mathematica Sinica. English Series 6 Japanese Journal of Mathematics. 3rd Series 6 Tunisian Journal of Mathematics 5 Canadian Mathematical Bulletin 5 Journal of Soviet Mathematics 5 European Journal of Mathematics 4 Mathematische Nachrichten 4 Memoirs of the American Mathematical Society 4 Journal of the Ramanujan Mathematical Society 4 The New York Journal of Mathematics 4 Journal of \(K\)-Theory 3 Bulletin of the Australian Mathematical Society 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Canadian Journal of Mathematics 3 Glasgow Mathematical Journal 3 Journal of the London Mathematical Society. Second Series 3 Journal of the Mathematical Society of Japan 3 Osaka Journal of Mathematics 3 International Journal of Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Sbornik: Mathematics 3 Journal of Algebra and its Applications 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Forum of Mathematics, Pi 3 Journal de l’École Polytechnique – Mathématiques 3 Transactions of the American Mathematical Society. Series B 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 Proceedings of the London Mathematical Society. Third Series 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 Experimental Mathematics 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Journal of High Energy Physics 2 La Gaceta de la Real Sociedad Matemática Española 2 Oberwolfach Reports 2 Journal of Singularities 2 Annals of \(K\)-Theory 2 Proceedings of the American Mathematical Society. Series B 2 Bollettino dell’Unione Matematica Italiana 1 Modern Physics Letters A 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Physics 1 Russian Mathematical Surveys ...and 44 more Serials all top 5 Cited in 34 Fields 806 Number theory (11-XX) 786 Algebraic geometry (14-XX) 169 \(K\)-theory (19-XX) 74 Field theory and polynomials (12-XX) 66 Commutative algebra (13-XX) 53 Several complex variables and analytic spaces (32-XX) 52 Associative rings and algebras (16-XX) 49 Group theory and generalizations (20-XX) 34 Category theory; homological algebra (18-XX) 25 Algebraic topology (55-XX) 16 Topological groups, Lie groups (22-XX) 13 Manifolds and cell complexes (57-XX) 12 Nonassociative rings and algebras (17-XX) 11 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 3 Functions of a complex variable (30-XX) 3 Convex and discrete geometry (52-XX) 3 General topology (54-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-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) 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 Relativity and gravitational theory (83-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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