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

共 50 条

[31] Abelian subgroups of the fundamental group of a space with no conjugate points
Dibble, James
GROUPS GEOMETRY AND DYNAMICS, 2021, 15 (02) : 683 - 690
[32] A THEOREM ON BOHR COMPACTIFICATION OF A LOCALLY COMPACT ABELIAN GROUP
VAROPOULOS, NT
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1965, 61 : 65 - +
[33] Quantum Lefschetz hyperplane theorem
Y.-P. Lee
Inventiones mathematicae, 2001, 145 : 121 - 149
[34] GROUP INVARIANT INTEGRATION AND THE FUNDAMENTAL THEOREM OF ALGEBRA
SCARF, H
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1952, 38 (05) : 439 - 440
[35] PRODUCT THEOREM OF FUNDAMENTAL GROUP OF A REDUCIBLE CURVE
OKA, M
SAKAMOTO, K
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1978, 30 (04) : 599 - 602
[36] Quantum Lefschetz hyperplane theorem
Lee, YP
INVENTIONES MATHEMATICAE, 2001, 145 (01) : 121 - 149
[37] The fundamental theorem of Legendrian submanifolds in the Heisenberg group
Chiu, Hung-Lin
Lai, Sin-Hua
Li, Jian-Wei
JOURNAL OF GEOMETRY AND PHYSICS, 2022, 178
[38] THE LEFSCHETZ THEOREM ON HYPERPLANE SECTIONS
ANDREOTTI, A
FRANKEL, T
ANNALS OF MATHEMATICS, 1959, 69 (03) : 713 - 717
[39] A LEFSCHETZ THEOREM FOR FOLIATED MANIFOLDS
HEITSCH, JL
LAZAROV, C
TOPOLOGY, 1990, 29 (02) : 127 - 162
[40] THE FOLIATED LEFSCHETZ HYPERPLANE THEOREM
Martinez Torres, David
Del Pino, Alvaro
Presas, Francisco
NAGOYA MATHEMATICAL JOURNAL, 2018, 231 : 115 - 127

← 1 2 3 4 5 →