ISOGENIES OF ABELIAN-VARIETIES

被引：7

作者：

SILVERBERG, A ^{[1
]}

ZARHIN, YG ^{[1
]}

机构：

[1] RUSSIAN ACAD SCI,INST MATH PROBLEMS,PUSHCHINO 142292,RUSSIA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1993年 / 90卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0022-4049(93)90133-E

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the question of when two polarized abelian varieties with partial level structure, which are isogenous and are defined over a given field F, are F-isogenous as abelian varieties without structure.

引用

页码：23 / 37

页数：15

共 50 条

[1] ISOGENIES OF ABELIAN-VARIETIES WITH MULTIPLICATIONS AND FITTING IDEALS
DENINGER, C
[J]. ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1995, 65 : 249 - 257
[2] DEGENERATING ABELIAN-VARIETIES
BOSCH, S
LUTKEBOHMERT, W
[J]. TOPOLOGY, 1991, 30 (04) : 653 - 698
[3] LIFTING ABELIAN-VARIETIES
NORMAN, P
[J]. INVENTIONES MATHEMATICAE, 1981, 64 (03) : 431 - 443
[4] ISOGENIES AND DUALITY OF ABELIAN VARIETIES
CARTIER, P
[J]. ANNALS OF MATHEMATICS, 1960, 71 (02) : 315 - 351
[5] CHARACTERIZATION OF ABELIAN-VARIETIES
KAWAMATA, Y
[J]. COMPOSITIO MATHEMATICA, 1981, 43 (02) : 253 - 276
[6] ISOGENIES OF ABELIAN VARIETIES IN CRYPTOGRAPHY
Ti, Yan Bo
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 101 (03) : 508 - 509
[7] ON SUPERSINGULAR ABELIAN-VARIETIES
NYGAARD, NO
[J]. LECTURE NOTES IN MATHEMATICS, 1983, 1008 : 83 - 101
[8] MODULI OF ABELIAN-VARIETIES
NORMAN, P
OORT, F
[J]. ANNALS OF MATHEMATICS, 1980, 112 (03) : 413 - 439
[9] ON SUBVARIETIES OF ABELIAN-VARIETIES
RAN, Z
[J]. INVENTIONES MATHEMATICAE, 1981, 62 (03) : 459 - 479
[10] HEIGHTS IN FAMILIES OF ABELIAN-VARIETIES
GREEN, W
[J]. DUKE MATHEMATICAL JOURNAL, 1989, 58 (03) : 617 - 632

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