Effective bounds for Brauer groups of Kummer surfaces over number fields

被引：4

作者：

Cantoral-Farfan, Victoria ^{[1
,2
]}

Tang, Yunqing ^{[3
]}

Tanimoto, Sho ^{[4
]}

Visse, Erik ^{[5
]}

机构：

[1] Inst Math Jussieu Paris Rive Gauche, 11 Str Costiera, I-34151 Trieste, Italy

[2] Abdus Salam Int Ctr Theoret Phys, 11 Str Costiera, I-34151 Trieste, Italy

[3] Princeton Univ, Dept Math, Fine Hall, Princeton, NJ 08540 USA

[4] Kumamoto Univ, Fac Sci, Dept Math, Kurokami 2-39-1, Kumamoto 8608555, Japan

[5] Leiden Univ, Math Inst, Niels Bohrweg 1, NL-2333 CA Leiden, Netherlands

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2018年 / 97卷

关键词：

DEL-PEZZO SURFACES; HASSE PRINCIPLE; WEAK APPROXIMATION; ABELIAN-VARIETIES; MANIN OBSTRUCTION; CURVES;

D O I：

10.1112/jlms.12118

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study effective bounds for Brauer groups of Kummer surfaces associated to Jacobians of genus 2 curves defined over number fields.

引用

页码：353 / 376

页数：24

共 60 条

[1] Level structures on Abelian varieties, Kodaira dimensions, and Lang's conjecture [J].

Abramovich, Ban ;

Varilly-Alvarado, Anthony .

ADVANCES IN MATHEMATICS, 2018, 329 :523-540

[2]

[Anonymous], 2010, J COMB NUMBER THEORY

[3]

[Anonymous], 1970, TATA I FUNDAMENTAL R

[4]

Autissier P, 2013, MATH Z, V273, P355, DOI 10.1007/s00209-012-1008-x

[5]

BIRCH BJ, 1975, J REINE ANGEW MATH, V274, P164

[6]

Bosch S., 1990, Ergebnisse der Math, V21

[7]

Bost JB, 1996, ASTERISQUE, P115

[8] Brauer groups of diagonal quartic surfaces [J].

Bright, M .

JOURNAL OF SYMBOLIC COMPUTATION, 2006, 41 (05) :544-558

[9]

Bruin N., 2007, LMS J. Comput. Math, V10, P354, DOI [10.1112/S1461157000001455, DOI 10.1112/S1461157000001455]

[10]

Cantoral-Farfan V., 2016, PREPRINT

← 1 2 3 4 5 6 →