THE MORDELL-LANG CONJECTURE FOR SEMIABELIAN VARIETIES DEFINED OVER FIELDS OF POSITIVE CHARACTERISTIC

被引：2

作者：

Ghioca, Dragos ^{[1
]}

Yang, She ^{[2
]}

机构：

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

[2] Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2024年 / 109卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

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

D O I：

10.1017/S0004972723000898

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 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

页码：254 / 264

页数：11

共 17 条

[1] The isotrivial case in the Mordell-Lang conjecture for semiabelian varieties defined over fields of positive characteristic
Ghioca, Dragos
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2025,
[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] A variant of the Mordell-Lang conjecture
Ghioca, Dragos
Hu, Fei
Scanlon, Thomas
Zannier, Umberto
MATHEMATICAL RESEARCH LETTERS, 2019, 26 (05) : 1383 - 1392
[6] Towards the Full Mordell-Lang Conjecture for Drinfeld Modules
Ghioca, Dragos
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2010, 53 (01): : 95 - 101
[7] Explicit height bounds and the effective Mordell-Lang Conjecture
Viada, Evelina
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, 2016, 7 (01): : 101 - 131
[8] A dynamical version of the Mordell-Lang conjecture for the additive group
Ghioca, D.
Tucker, T. J.
COMPOSITIO MATHEMATICA, 2008, 144 (02) : 304 - 316
[9] ON A UNIFORM BOUND FOR THE NUMBER OF EXCEPTIONAL LINEAR SUBVARIETIES IN THE DYNAMICAL MORDELL-LANG CONJECTURE
Silverman, Joseph H.
Viray, Bianca
MATHEMATICAL RESEARCH LETTERS, 2013, 20 (03) : 547 - 566
[10] Zariski dense orbits for regular self-maps of split semiabelian varieties in positive characteristic
Ghioca, Dragos
Saleh, Sina
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2023, 175 (03) : 479 - 519

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