Reductions of abelian surfaces over global function fields

被引：6

作者：

Maulik, Davesh ^{[1
]}

Shankar, Ananth N. ^{[2
]}

Tang, Yunqing ^{[3
]}

机构：

[1] MIT, Dept Math, Simons Bldg Bldg 2,77 Massachusetts Ave, Cambridge, MA 02139 USA

[2] Univ Wisconsin, Dept Math, Van Vleck Hall,480 Lincoln Dr, Madison, WI 53706 USA

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

来源：

COMPOSITIO MATHEMATICA | 2022年 / 158卷 / 04期

关键词：

abelian surfaces; elliptic curves; deformation theory; BORCHERDS PRODUCTS; FORMS; VARIETIES; THEOREM; MODELS; BOUNDS;

D O I：

10.1112/S0010437X22007473

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a non-isotrivial ordinary abelian surface over a global function field of characteristic p > 0 with good reduction everywhere. Suppose that A does not have real multiplication by any real quadratic field with discriminant a multiple of p. We prove that there are infinitely many places modulo which A is isogenous to the product of two elliptic curves.

引用

页码：893 / +

页数：59

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