o-minimal Flows on Abelian Varieties

被引：5

作者：

Ullmo, Emmanuel ^{[1
]}

Yafaev, Andrei ^{[2
]}

机构：

[1] IHES, 35 Route Chartres, F-91440 Bures Sur Yvette, France

[2] UCL, Dept Math, Gower St, London WC1E 6BT, England

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2017年 / 68卷 / 02期

关键词：

RATIONAL-POINTS;

D O I：

10.1093/qmath/haw046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be an abelian variety over C of dimension n and pi: C-n -> A be the complex uniformization. Let X be an unbounded subset of C-n definable in a suitable o-minimal structure. We give a description of the Zariski closure of pi (X).

引用

页码：359 / 367

页数：9

共 50 条

[31] O-minimal Hauptvermutung for polyhedra I
Masahiro Shiota
Inventiones mathematicae, 2014, 196 : 163 - 232
[32] Forking and independence in O-minimal theories
Dolich, A
JOURNAL OF SYMBOLIC LOGIC, 2004, 69 (01) : 215 - 240
[33] Geometric categories and o-minimal structures
vandenDries, L
Miller, C
DUKE MATHEMATICAL JOURNAL, 1996, 84 (02) : 497 - 540
[34] NORMAL TRIANGULATIONS IN O-MINIMAL STRUCTURES
Baro, Elias
JOURNAL OF SYMBOLIC LOGIC, 2010, 75 (01) : 275 - 288
[35] ON DEDEKIND COMPLETE O-MINIMAL STRUCTURES
PILLAY, A
STEINHORN, C
JOURNAL OF SYMBOLIC LOGIC, 1987, 52 (01) : 156 - 164
[36] Sheaf cohomology in o-minimal structures
Edmundo, Mario J.
Jones, Gareth O.
Peatfield, Nicholas J.
JOURNAL OF MATHEMATICAL LOGIC, 2006, 6 (02) : 163 - 179
[37] Weakly o-minimal nonvaluational structures
Wencel, Roman
ANNALS OF PURE AND APPLIED LOGIC, 2008, 154 (03) : 139 - 162
[38] Weighted o-minimal hybrid systems
Bouyer, Patricia
Brihaye, Thomas
Chevalier, Fabrice
ANNALS OF PURE AND APPLIED LOGIC, 2009, 161 (03) : 268 - 288
[39] Approximation theorems in o-minimal structures
Escribano, JS
ILLINOIS JOURNAL OF MATHEMATICS, 2002, 46 (01) : 111 - 128
[40] o-minimal GAGA and a conjecture of Griffiths
Bakker, Benjamin
Brunebarbe, Yohan
Tsimerman, Jacob
INVENTIONES MATHEMATICAE, 2023, 232 (01) : 163 - 228

← 1 2 3 4 5 →