Monodromy of logarithmic Barsotti-Tate groups attached to 1-motives

被引：0

作者：

Bertapelle, A ^{[1
]}

Candilera, M ^{[1
]}

Cristante, V ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2004年 / 573卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a complete discrete valuation field with residue field of positive characteristic. We study the Barsotti-Tate group of a K-1-motive and we give a condition to extend it to a logarithmic BT-group over the valuation ring. We compare two notions of monodromy appearing in the literature.

引用

页码：211 / 234

页数：24

共 32 条

[1] Barsotti-Tate groups
[J]. GOEMETRY AND COHOMOLOGY OF SOME SIMPLE SHIMURA VARIETIES, 2001, (151): : 59 - 88
[2] Λ-ADIC BARSOTTI-TATE GROUPS
Hida, Haruzo
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2014, 268 (02) : 283 - 312
[3] DEFORMATIONS OF BARSOTTI-TATE GROUPS
ILLUSIE, L
[J]. ASTERISQUE, 1985, (127) : 151 - 198
[4] A Note on Semistable Barsotti-Tate Groups
Trihan, Fabien
[J]. JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO, 2008, 15 (03): : 411 - 425
[5] TRUNCATED BARSOTTI-TATE GROUPS AND DISPLAYS
Lau, Eike
Zink, Thomas
[J]. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2018, 17 (03) : 541 - 581
[6] Canonical subgroups of Barsotti-Tate groups
Tian, Yichao
[J]. ANNALS OF MATHEMATICS, 2010, 172 (02) : 955 - 988
[7] Potentially good reduction of Barsotti-Tate groups
Liu, Tong
[J]. JOURNAL OF NUMBER THEORY, 2007, 126 (02) : 155 - 184
[8] On Tate Shafarevich groups of 1-motives
Gonzalez-Aviles, Cristian D.
[J]. ACTA ARITHMETICA, 2017, 177 (01) : 75 - 89
[9] Homomorphisms of Barsotti-Tate groups and crystals in positive characteristic
A. J. de Jong
[J]. Inventiones mathematicae, 1998, 134 : 301 - 333
[10] Homomorphisms of Barsotti-Tate groups and crystals in positive characteristic
de Jong, AJ
[J]. INVENTIONES MATHEMATICAE, 1998, 134 (02) : 301 - 333

← 1 2 3 4 →