Logarithmic compactification of the Abel-Jacobi section

被引：19

作者：

Marcus, Steffen ^{[1
]}

Wise, Jonathan ^{[2
]}

机构：

[1] Coll New Jersey, Math & Stat, 2000 Pennington Rd, Ewing, NJ 08628 USA

[2] Univ Colorado, Dept Math, Campus Box 395, Boulder, CO 80309 USA

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2020年 / 121卷 / 05期

关键词：

14D20; 14D23; 14C17; 14T05 (primary); DOUBLE RAMIFICATION CYCLE; TAUTOLOGICAL CLASSES; MODULI SPACES; MORPHISMS; GEOMETRY;

D O I：

10.1112/plms.12365

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a smooth curve with weighted marked points, the Abel-Jacboi map produces a line bundle on the curve. This map fails to extend to the full boundary of the moduli space of stable pointed curves. Using logarithmic and tropical geometry, we describe a modular modification of the moduli space of curves over which the Abel-Jacobi map extends. We also describe the attendant deformation theory and virtual fundamental class of this moduli space. This recovers the double ramification cycle, as well as variants associated to differentials.

引用

页码：1207 / 1250

页数：44

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