## Kurihara, Masato

Compute Distance To:
 Author ID: kurihara.masato Published as: Kurihara, Masato; Kurihara, M. Homepage: http://www.math.keio.ac.jp/~kurihara/ External Links: MGP · Wikidata · IdRef
 Documents Indexed: 43 Publications since 1981, including 1 Book 5 Contributions as Editor · 2 Further Contributions Co-Authors: 21 Co-Authors with 22 Joint Publications 290 Co-Co-Authors
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### Co-Authors

 26 single-authored 5 Greither, Cornelius 3 Burns, David John 3 Iwasawa, Kenkichi 3 Miura, Takashi 3 Sano, Takamichi 2 Coates, John H. 2 Fesenko, Ivan Borisovich 2 Fujisaki, Genjiro 2 Kato, Kazuya 2 Nakajima, Shōichi 2 Satake, Ichirô 1 Bannai, Kenichi 1 Gros, Michel 1 Hiraiwa, M. 1 Kataoka, Takenori 1 Kim, Chan-Ho 1 Kurokawa, Nobushige 1 Ochiai, Tadashi 1 Otsuki, Rei 1 Pollack, Robert 1 Saito, Takeshi 1 Taguchi, Yuichiro 1 Tokio, Hibiki 1 Tsuji, Takeshi
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### Serials

 4 Tokyo Journal of Mathematics 3 Inventiones Mathematicae 2 Compositio Mathematica 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Journal de Théorie des Nombres de Bordeaux 2 Documenta Mathematica 2 RIMS Kokyuroku 1 Acta Arithmetica 1 Journal of Number Theory 1 Mathematische Zeitschrift 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Sūgaku 1 IMRN. International Mathematics Research Notices 1 St. Petersburg Mathematical Journal 1 Selecta Mathematica. New Series 1 Journal of the European Mathematical Society (JEMS) 1 Pure and Applied Mathematics Quarterly 1 Advanced Studies in Pure Mathematics 1 Translations of Mathematical Monographs 1 Geometry and Topology Monographs 1 Algebra & Number Theory 1 RIMS Kôkyûroku Bessatsu 1 Münster Journal of Mathematics 1 SpringerBriefs in Mathematics 1 Springer Collected Works in Mathematics
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### Fields

 47 Number theory (11-XX) 9 $$K$$-theory (19-XX) 7 Algebraic geometry (14-XX) 5 History and biography (01-XX) 3 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX)

### Citations contained in zbMATH Open

36 Publications have been cited 267 times in 166 Documents Cited by Year
On the Tate-Shafarevich groups over cyclotomic fields of an elliptic curve with supersingular reduction. I. Zbl 1033.11028
Kurihara, Masato
2002
Iwasawa theory and Fitting ideals. Zbl 1056.11063
Kurihara, Masato
2003
Some remarks on conjectures about cyclotomic fields and $$K$$-groups of $$\mathbb{Z}$$. Zbl 0747.11055
Kurihara, Masato
1992
A note on p-adic étale cohomology. Zbl 0647.14006
Kurihara, Masato
1987
Syntomic regulators and values of $$p$$-adic $$L$$-functions. I. Appendix by Masato Kurihara. (Régulateurs syntomiques et valeurs de fonction $$L$$ $$p$$-adiques. I.) Zbl 0667.14006
Gros, Michel
1990
Stickelberger elements, Fitting ideals of class groups of CM-fields, and dualisation. Zbl 1159.11042
Greither, Cornelius; Kurihara, Masato
2008
On zeta elements for $$\mathbb G_m$$. Zbl 1407.11133
Burns, David; Kurihara, Masato; Sano, Takamichi
2016
The exponential homomorphisms for the Milnor $$K$$-groups and an explicit reciprocity law. Zbl 0909.19001
Kurihara, Masato
1998
On the ideal class groups of the maximal real subfields of number fields with all roots of unity. Zbl 0949.11055
Kurihara, Masato
1999
Refined Iwasawa theory and Kolyvagin systems of Gauss sum type. Zbl 1242.11085
Kurihara, Masato
2012
On the structure of ideal class groups of CM-fields. Zbl 1135.11339
Kurihara, Masato
2003
On two types of complete discrete valuation fields. Zbl 0674.12007
Kurihara, Masato
1987
Two $$p$$-adic $$L$$-functions and rational points on elliptic curves with supersingular reduction. Zbl 1148.11029
Kurihara, Masato; Pollack, Robert
2007
Ideal class groups of cyclotomic fields and modular forms of level 1. Zbl 0797.11087
Kurihara, Masato
1993
Stickelberger ideals and Fitting ideals of class groups for abelian number fields. Zbl 1235.11099
Kurihara, Masato; Miura, Takashi
2011
The Iwasawa $$\lambda$$-invariants of real abelian fields and the cyclotomic elements. Zbl 0941.11040
Kurihara, Masato
1999
Abelian extensions of an absolutely unramified local field with general residue field. Zbl 0666.12012
Kurihara, Masato
1988
Invitation to higher local fields. Extended version of talks given at the conference on higher local fields, Münster, Germany, August 29–September 5, 1999. Zbl 0954.00026
2000
The structure of Selmer groups of elliptic curves and modular symbols. Zbl 1361.11039
Kurihara, Masato
2014
Refined Iwasawa theory for $$p$$-adic representations and the structure of Selmer groups. Zbl 1316.11100
Kurihara, Masato
2014
Tate sequences and Fitting ideals of Iwasawa modules. Zbl 1359.11087
Greither, C.; Kurihara, M.
2016
Fitting ideals of Iwasawa modules and of the dual of class groups. Zbl 1416.11158
Greither, Cornelius; Kurihara, Masato
2017
Remarks on the $$\lambda_{p}$$-invariants of cyclic fields of degree $$p$$. Zbl 1142.11367
Kurihara, Masato
2005
On stronger versions of Brumer’s conjecture. Zbl 1270.11117
Kurihara, Masato
2011
Two types of complete discrete valuation fields. Zbl 1008.11066
Kurihara, Masato
2000
The second syzygy of the trivial $$G$$-module, and an equivariant main conjecture. Zbl 1477.11185
Greither, Cornelius; Kurihara, Masato; Tokio, Hibiki
2020
On Iwasawa theory, zeta elements for $$\mathbb G_m$$, and the equivariant Tamagawa number conjecture. Zbl 1455.11158
Burns, David; Kurihara, Masato; Sano, Takamichi
2017
Ideal class groups of CM-fields with non-cyclic Galois action. Zbl 1276.11178
Kurihara, Masato; Miura, Takashi
2012
Fitting ideals of $$p$$-ramified Iwasawa modules over totally real fields. Zbl 07451866
Greither, Cornelius; Kataoka, Takenori; Kurihara, Masato
2022
Rubin-Stark elements and ideal class groups. Zbl 1393.11076
Kurihara, Masato
2015
Number theory 3. Iwasawa theory and modular forms. Transl. from the Japanese by Masato Kuwata. Zbl 1259.11001
Kurokawa, Nobushige; Kurihara, Masato; Saito, Takeshi
2012
Abelian extensions of absolutely unramified complete discrete valuation fields. Zbl 1008.11049
Kurihara, Masato
2000
On the structure of Milnor $$K$$-groups of certain complete discrete valuation fields. Zbl 1079.11058
Kurihara, Masato
2004
On the growth of Selmer groups of an elliptic curve with supersingular reduction in the $$\mathbb Z_2$$-extension of $$\mathbb Q$$. Zbl 1117.11060
Kurihara, Masato; Otsuki, Rei
2006
The Iwasawa theory of elliptic curves that have supersingular reduction. Zbl 0968.11507
Kurihara, Masato
2000
On Stark elements of arbitrary weight and their $$p$$-adic families. Zbl 1469.11458
Burns, David; Kurihara, Masato; Sano, Takamichi
2020
Fitting ideals of $$p$$-ramified Iwasawa modules over totally real fields. Zbl 07451866
Greither, Cornelius; Kataoka, Takenori; Kurihara, Masato
2022
The second syzygy of the trivial $$G$$-module, and an equivariant main conjecture. Zbl 1477.11185
Greither, Cornelius; Kurihara, Masato; Tokio, Hibiki
2020
On Stark elements of arbitrary weight and their $$p$$-adic families. Zbl 1469.11458
Burns, David; Kurihara, Masato; Sano, Takamichi
2020
Fitting ideals of Iwasawa modules and of the dual of class groups. Zbl 1416.11158
Greither, Cornelius; Kurihara, Masato
2017
On Iwasawa theory, zeta elements for $$\mathbb G_m$$, and the equivariant Tamagawa number conjecture. Zbl 1455.11158
Burns, David; Kurihara, Masato; Sano, Takamichi
2017
On zeta elements for $$\mathbb G_m$$. Zbl 1407.11133
Burns, David; Kurihara, Masato; Sano, Takamichi
2016
Tate sequences and Fitting ideals of Iwasawa modules. Zbl 1359.11087
Greither, C.; Kurihara, M.
2016
Rubin-Stark elements and ideal class groups. Zbl 1393.11076
Kurihara, Masato
2015
The structure of Selmer groups of elliptic curves and modular symbols. Zbl 1361.11039
Kurihara, Masato
2014
Refined Iwasawa theory for $$p$$-adic representations and the structure of Selmer groups. Zbl 1316.11100
Kurihara, Masato
2014
Refined Iwasawa theory and Kolyvagin systems of Gauss sum type. Zbl 1242.11085
Kurihara, Masato
2012
Ideal class groups of CM-fields with non-cyclic Galois action. Zbl 1276.11178
Kurihara, Masato; Miura, Takashi
2012
Number theory 3. Iwasawa theory and modular forms. Transl. from the Japanese by Masato Kuwata. Zbl 1259.11001
Kurokawa, Nobushige; Kurihara, Masato; Saito, Takeshi
2012
Stickelberger ideals and Fitting ideals of class groups for abelian number fields. Zbl 1235.11099
Kurihara, Masato; Miura, Takashi
2011
On stronger versions of Brumer’s conjecture. Zbl 1270.11117
Kurihara, Masato
2011
Stickelberger elements, Fitting ideals of class groups of CM-fields, and dualisation. Zbl 1159.11042
Greither, Cornelius; Kurihara, Masato
2008
Two $$p$$-adic $$L$$-functions and rational points on elliptic curves with supersingular reduction. Zbl 1148.11029
Kurihara, Masato; Pollack, Robert
2007
On the growth of Selmer groups of an elliptic curve with supersingular reduction in the $$\mathbb Z_2$$-extension of $$\mathbb Q$$. Zbl 1117.11060
Kurihara, Masato; Otsuki, Rei
2006
Remarks on the $$\lambda_{p}$$-invariants of cyclic fields of degree $$p$$. Zbl 1142.11367
Kurihara, Masato
2005
On the structure of Milnor $$K$$-groups of certain complete discrete valuation fields. Zbl 1079.11058
Kurihara, Masato
2004
Iwasawa theory and Fitting ideals. Zbl 1056.11063
Kurihara, Masato
2003
On the structure of ideal class groups of CM-fields. Zbl 1135.11339
Kurihara, Masato
2003
On the Tate-Shafarevich groups over cyclotomic fields of an elliptic curve with supersingular reduction. I. Zbl 1033.11028
Kurihara, Masato
2002
Invitation to higher local fields. Extended version of talks given at the conference on higher local fields, Münster, Germany, August 29–September 5, 1999. Zbl 0954.00026
2000
Two types of complete discrete valuation fields. Zbl 1008.11066
Kurihara, Masato
2000
Abelian extensions of absolutely unramified complete discrete valuation fields. Zbl 1008.11049
Kurihara, Masato
2000
The Iwasawa theory of elliptic curves that have supersingular reduction. Zbl 0968.11507
Kurihara, Masato
2000
On the ideal class groups of the maximal real subfields of number fields with all roots of unity. Zbl 0949.11055
Kurihara, Masato
1999
The Iwasawa $$\lambda$$-invariants of real abelian fields and the cyclotomic elements. Zbl 0941.11040
Kurihara, Masato
1999
The exponential homomorphisms for the Milnor $$K$$-groups and an explicit reciprocity law. Zbl 0909.19001
Kurihara, Masato
1998
Ideal class groups of cyclotomic fields and modular forms of level 1. Zbl 0797.11087
Kurihara, Masato
1993
Some remarks on conjectures about cyclotomic fields and $$K$$-groups of $$\mathbb{Z}$$. Zbl 0747.11055
Kurihara, Masato
1992
Syntomic regulators and values of $$p$$-adic $$L$$-functions. I. Appendix by Masato Kurihara. (Régulateurs syntomiques et valeurs de fonction $$L$$ $$p$$-adiques. I.) Zbl 0667.14006
Gros, Michel
1990
Abelian extensions of an absolutely unramified local field with general residue field. Zbl 0666.12012
Kurihara, Masato
1988
A note on p-adic étale cohomology. Zbl 0647.14006
Kurihara, Masato
1987
On two types of complete discrete valuation fields. Zbl 0674.12007
Kurihara, Masato
1987
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### Cited by 163 Authors

 15 Kurihara, Masato 7 Greither, Cornelius 6 Lei, Antonio 6 Nickel, Andreas 4 Kataoka, Takenori 4 Ohshita, Tatsuya 4 Pollack, Robert 4 Sato, Kanetomo 3 Bandini, Andrea 3 Gras, Georges 3 Itoh, Tsuyoshi 3 Ivanova, Ol’ga Yur’evna 3 Jaulent, Jean-François 3 Kato, Kazuya 3 Kobayashi, Shinichi 3 Miura, Takashi 3 Nguyen Quang Do, Thong 3 Popescu, Cristian D. 3 Sharifi, Romyar T. 3 Ramdorai, Sujatha 3 Zhukov, Igor’ Borisovich 2 Banaszak, Grzegorz 2 Büyükboduk, Kâzim 2 Cámara, Alberto 2 Florez, Jorge 2 Fukaya, Takako 2 Johnston, Henri L. A. 2 Kim, Chan-Ho 2 Langer, Andreas 2 Leal, Isabel 2 Lim, Meng Fai 2 Longhi, Ignazio 2 Ohta, Masami 2 Otsuki, Rei 2 Pappas, Georgios 2 Saito, Shuji 2 Sitaraman, Sankar 2 Taya, Hisao 2 Vostokov, Sergeĭ Vladimirovich 2 Wuthrich, Christian 2 Yamazaki, Takao 1 Afanas’eva, Sof’ya Sergeevna 1 Anglès, Bruno 1 Aoki, Miho 1 Asada, Mamoru 1 Asakura, Masanori 1 Assim, Jilali 1 Atsuta, Mahiro 1 Badino, Raphaël 1 Bannai, Kenichi 1 Barquero-Sanchez, Adrian 1 Bars Cortina, Francesc 1 Beliaeva, Tatiana 1 Bellaïche, Joël 1 Belliard, Jean-Robert 1 Bloch, Spencer J. 1 Böckle, Gebhard 1 Bondarko, Mikhail Vladimirovich 1 Bosca, Sébastien 1 Burungale, Ashay A. 1 Cadwallader, Lindsay 1 Cannon, Olivia 1 Caputo, Luca 1 Chipchakov, Ivan D. 1 Çiperiani, Mirela 1 Clement Fernández, R. 1 Coates, John H. 1 Colmez, Pierre 1 Coscelli, Edoardo 1 Czerniawska, Weronika 1 Demchenko, Oleg Vyacheslavovich 1 Dokchitser, Tim 1 Dokchitser, Vladimir 1 Dolce, Paolo 1 Echarri Hernández, J. M. 1 Esnault, Hélène 1 Faltings, Gerd 1 Fesenko, Ivan Borisovich 1 Flach, Matthias 1 Foster, Tyler 1 Fujii, Satoshi 1 Fukuda, Takashi 1 Geisser, Thomas H. 1 Genao, Tyler 1 Gómez Ayala, Eugenio Jesús 1 Grant, David R. 1 Gros, Michel 1 Hazewinkel, Michiel 1 Hiranouchi, Toshiro 1 Ichimura, Humio 1 Iizuka, Yoshichika 1 Ikonnikova, Elena Valer’evna 1 Iovita, Adrian 1 Jordan, Bruce W. 1 Kerz, Moritz C. 1 Kim, Myoungil 1 Kitajima, Takahiro 1 Kitayama, Takahiro 1 Kleine, Sören 1 Komatsu, Keiichi ...and 63 more Authors
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### Cited in 58 Serials

 19 Journal of Number Theory 9 Tokyo Journal of Mathematics 7 Duke Mathematical Journal 6 Compositio Mathematica 6 Inventiones Mathematicae 6 Mathematische Annalen 6 Mathematische Zeitschrift 6 Journal de Théorie des Nombres de Bordeaux 5 Manuscripta Mathematica 5 Proceedings of the Japan Academy. Series A 4 Journal für die Reine und Angewandte Mathematik 4 St. Petersburg Mathematical Journal 4 International Journal of Number Theory 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of Algebra 3 Journal of Pure and Applied Algebra 3 Selecta Mathematica. New Series 3 Documenta Mathematica 2 Mathematics of Computation 2 Acta Arithmetica 2 Annales de l’Institut Fourier 2 Journal of the Mathematical Society of Japan 2 Nagoya Mathematical Journal 2 Tohoku Mathematical Journal. Second Series 2 Transactions of the American Mathematical Society 2 Journal of the Ramanujan Mathematical Society 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Vestnik St. Petersburg University. Mathematics 2 Journal of Algebraic Geometry 2 Annals of Mathematics. Second Series 2 Kyoto Journal of Mathematics 2 Research in Number Theory 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Functiones et Approximatio. Commentarii Mathematici 1 Mathematische Nachrichten 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Publicacions Matemàtiques 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Linear Algebra and its Applications 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 Journal of the European Mathematical Society (JEMS) 1 Algebra & Number Theory 1 Journal of $$K$$-Theory 1 Journal of Commutative Algebra 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Forum of Mathematics, Sigma 1 European Journal of Mathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Tunisian Journal of Mathematics
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### Cited in 16 Fields

 151 Number theory (11-XX) 43 Algebraic geometry (14-XX) 15 $$K$$-theory (19-XX) 8 Commutative algebra (13-XX) 7 Field theory and polynomials (12-XX) 4 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Functional analysis (46-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX)

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