外国語の文献

ウィキペディア小見出し辞書

外国語の文献

出典: フリー百科事典『ウィキペディア（Wikipedia）』 (2022/03/11 07:52 UTC 版)

「テイト・シャファレヴィッチ群」の記事における「外国語の文献」の解説

.mw-parser-output .refbegin{margin-bottom:0.5em}.mw-parser-output .refbegin-hanging-indents>ul{margin-left:0}.mw-parser-output .refbegin-hanging-indents>ul>li{margin-left:0;padding-left:3.2em;text-indent:-3.2em}.mw-parser-output .refbegin-hanging-indents ul,.mw-parser-output .refbegin-hanging-indents ul li{list-style:none}@media(max-width:720px){.mw-parser-output .refbegin-hanging-indents>ul>li{padding-left:1.6em;text-indent:-1.6em}}.mw-parser-output .refbegin-100{font-size:100%}.mw-parser-output .refbegin-columns{margin-top:0.3em}.mw-parser-output .refbegin-columns ul{margin-top:0}.mw-parser-output .refbegin-columns li{page-break-inside:avoid;break-inside:avoid-column}Cassels, John William Scott (1962), “Arithmetic on curves of genus 1. III. The Tate–Šafarevič and Selmer groups”, Proceedings of the London Mathematical Society, Third Series 12: 259–296, doi:10.1112/plms/s3-12.1.259, ISSN 0024-6115, MR0163913 Cassels, John William Scott (1962b), “Arithmetic on curves of genus 1. IV. Proof of the Hauptvermutung”, Journal für die reine und angewandte Mathematik 211 (211): 95–112, doi:10.1515/crll.1962.211.95, ISSN 0075-4102, MR0163915, http://resolver.sub.uni-goettingen.de/purl?GDZPPN002179873 Cassels, John William Scott (1991), Lectures on elliptic curves, London Mathematical Society Student Texts, 24, Cambridge University Press, doi:10.1017/CBO9781139172530, ISBN 978-0-521-41517-0, MR1144763, https://books.google.com/books?id=zgqUAuEJNJ4C Hindry, Marc; Silverman, Joseph H. (2000), Diophantine geometry: an introduction, Graduate Texts in Mathematics, 201, Berlin, New York: Springer-Verlag, ISBN 978-0-387-98981-5 Greenberg, Ralph (1994), “Iwasawa Theory and p-adic Deformation of Motives”, in Serre, Jean-Pierre; Jannsen, Uwe; Kleiman, Steven L., Motives, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-1637-0 Kolyvagin, V. A. (1988), “Finiteness of E(Q) and SH(E,Q) for a subclass of Weil curves”, Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 52 (3): 522–540, 670–671, ISSN 0373-2436, 954295 Lang, Serge; Tate, John (1958), “Principal homogeneous spaces over abelian varieties”, American Journal of Mathematics 80 (3): 659–684, doi:10.2307/2372778, ISSN 0002-9327, JSTOR 2372778, MR0106226, https://jstor.org/stable/2372778 Lind, Carl-Erik (1940). Untersuchungen über die rationalen Punkte der ebenen kubischen Kurven vom Geschlecht Eins (Thesis). 1940. University of Uppsala. 97 pp. MR 0022563。 Poonen, Bjorn; Stoll, Michael (1999), “The Cassels-Tate pairing on polarized abelian varieties”, Annals of Mathematics, Second Series 150 (3): 1109–1149, arXiv:math/9911267, doi:10.2307/121064, ISSN 0003-486X, JSTOR 121064, MR1740984, https://jstor.org/stable/121064 Rubin, Karl (1987), “Tate–Shafarevich groups and L-functions of elliptic curves with complex multiplication”, Inventiones Mathematicae 89 (3): 527–559, Bibcode: 1987InMat..89..527R, doi:10.1007/BF01388984, ISSN 0020-9910, MR903383 Selmer, Ernst S. (1951), “The Diophantine equation ax³+by³+cz³=0”, Acta Mathematica 85: 203–362, doi:10.1007/BF02395746, ISSN 0001-5962, MR0041871 Shafarevich, I. R. (1959), “The group of principal homogeneous algebraic manifolds” (ロシア語), Doklady Akademii Nauk SSSR 124: 42–43, ISSN 0002-3264, MR0106227 English translation in his collected mathematical papers Stein, William A. (2004), “Shafarevich–Tate groups of nonsquare order”, Modular curves and abelian varieties, Progr. Math., 224, Basel, Boston, Berlin: Birkhäuser, pp. 277–289, MR2058655, http://wstein.org/papers/nonsquaresha/final2.pdf Swinnerton-Dyer, P. (1967), “The conjectures of Birch and Swinnerton-Dyer, and of Tate”, in Springer, Tonny A., Proceedings of a Conference on Local Fields (Driebergen, 1966), Berlin, New York: Springer-Verlag, pp. 132–157, MR0230727, https://books.google.com/books/?id=I983HAAACAAJ Tate, John (1958), WC-groups over p-adic fields, Séminaire Bourbaki; 10e année: 1957/1958, 13, Paris: Secrétariat Mathématique, MR0105420, http://www.numdam.org/item?id=SB_1956-1958__4__265_0 Tate, John (1963), “Duality theorems in Galois cohomology over number fields”, Proceedings of the International Congress of Mathematicians (Stockholm, 1962), Djursholm: Inst. Mittag-Leffler, pp. 288–295, MR0175892, http://mathunion.org/ICM/ICM1962.1/ Weil, André (1955), “On algebraic groups and homogeneous spaces”, American Journal of Mathematics 77 (3): 493–512, doi:10.2307/2372637, ISSN 0002-9327, JSTOR 2372637, MR0074084, https://jstor.org/stable/2372637