The isotrivial case in the Mordell-Lang conjecture for semiabelian varieties defined over fields of positive characteristic

被引：1

作者：

Ghioca, Dragos ^{[1
]}

机构：

[1] Univ British Columbia, Dept Math, 1984 Math Rd, Vancouver, BC V6T 1Z2, Canada

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2025年

关键词：

Semiabelian varieties; finite fields; Mordell-Lang conjecture; INTEGRAL POINTS;

D O I：

10.4153/S0008439524000468

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a semiabelian variety defined over a finite subfield of an algebraically closed field K of prime characteristic. We describe the intersection of a subvariety X of G with a finitely generated subgroup of $G(K)$ .

引用

页数：16

共 5 条

[1] THE MORDELL-LANG CONJECTURE FOR SEMIABELIAN VARIETIES DEFINED OVER FIELDS OF POSITIVE CHARACTERISTIC
Ghioca, Dragos
Yang, She
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2024, 109 (02) : 254 - 264
[2] The Mordell-Lang question for endomorphisms of semiabelian varieties
Ghioca, Dragos
Tucker, Thomas
Zieve, Michael E.
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2011, 23 (03): : 645 - 666
[3] THE DYNAMICAL MORDELL-LANG CONJECTURE IN POSITIVE CHARACTERISTIC
Ghioca, Dragos
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 371 (02) : 1151 - 1167
[4] Mordell-Lang conjecture for function fields in characteristic zero, revisited
Pillay, A
COMPOSITIO MATHEMATICA, 2004, 140 (01) : 64 - 68
[5] Infinitely p-Divisible Points on Abelian Varieties Defined over Function Fields of Characteristic p > 0
Roessler, Damian
NOTRE DAME JOURNAL OF FORMAL LOGIC, 2013, 54 (3-4) : 579 - 589

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