Lefschetz theorem for abelian fundamental group with modulus

被引：11

作者：

Kerz, Moritz ^{[1
]}

Saito, Shuji ^{[2
]}

机构：

[1] Univ Regensburg, Nat Wissensch Fak Math 1, D-93040 Regensburg, Germany

[2] Tokyo Inst Technol, Grad Sch Sci & Engn, Interact Res Ctr Sci, Meguro Ku, Tokyo 1528551, Japan

来源：

ALGEBRA & NUMBER THEORY | 2014年 / 8卷 / 03期

关键词：

fundamental group; ramification; Lefschetz theorem;

D O I：

10.2140/ant.2014.8.689

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a Lefschetz hypersurface theorem for abelian fundamental groups allowing wild ramification along some divisor. In fact, we show that isomorphism holds if the degree of the hypersurface is large relative to the ramification along the divisor.

引用

页码：689 / 701

页数：13

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