Deformation of integral sections in the Mordell–Weil group

被引：0

作者：

Cheng Gong

Yi Gu

机构：

[1] Soochow University,School of Mathematical Sciences

来源：

Archiv der Mathematik | 2023年 / 120卷

关键词：

Mordell–Weil group; Integral sections; Deformation space; 14J27;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Using deformation theory, we answer two questions of Shioda concerning the infinitesimal structure of the moduli space of integral sections in the Mordell–Weil group.

引用

页码：373 / 379

页数：6

共 50 条

[21] SOME RESULTS ON MORDELL-WEIL GROUP OF JACOBIAN OF FERMAT CURVE
GROSS, BH
ROHRLICH, DE
INVENTIONES MATHEMATICAE, 1978, 44 (03) : 201 - 224
[22] Bounds of the rank of the Mordell-Weil group of Jacobians of Hyperelliptic Curves
Daniels, Harris B.
Lozano-Robledo, Alvaro
Wallace, Erik
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2020, 32 (01): : 231 - 258
[23] MORDELL-WEIL LATTICES OF TYPE E8 AND DEFORMATION OF SINGULARITIES
SHIODA, T
LECTURE NOTES IN MATHEMATICS, 1991, 1468 : 177 - 202
[24] RAMIFIED PRIMES IN THE FIELD OF DEFINITION FOR THE MORDELL-WEIL GROUP OF AN ELLIPTIC SURFACE
KUWATA, M
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 116 (04) : 955 - 959
[25] Visibility of Mordell-Weil groups
Stein, William A.
DOCUMENTA MATHEMATICA, 2007, 12 : 587 - 606
[26] Mordell-Weil lattices in characteristic 2, III: A Mordell-Weil lattice of rank 128
Elkies, ND
EXPERIMENTAL MATHEMATICS, 2001, 10 (03) : 467 - 473
[27] Algebraic structure and characteristic ideals of fine Mordell–Weil groups and plus/minus Mordell–Weil groups
Antonio Lei
Mathematische Zeitschrift, 2023, 303
[28] COMPLETE CHARACTERIZATION OF THE MORDELL-WEIL GROUP OF SOME FAMILIES OF ELLIPTIC CURVES
Daghigh, H.
Didari, S.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2016, 42 (03) : 585 - 594
[29] A MORDELL-WEIL GROUP OF RANK-8, AND A SUBGROUP OF FINITE INDEX
SCHWARTZ, CF
NAGOYA MATHEMATICAL JOURNAL, 1984, 93 (MAR) : 17 - 26
[30] The Steinitz class of the Mordell-Weil group of some CM elliptic curves
Dummit, DS
Miller, WL
JOURNAL OF NUMBER THEORY, 1996, 56 (01) : 52 - 78

← 1 2 3 4 5 →