Local Gromov-Witten invariants are log invariants

被引：28

作者：

van Garrel, Michel ^{[1
]}

Graber, Tom ^{[2
]}

Ruddat, Helge ^{[3
]}

机构：

[1] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England

[2] CALTECH, Dept Math, 362 Sloan Lab, MC 253-37, Pasadena, CA 91125 USA

[3] JGU Mainz, Inst Math, Staudingerweg 9, D-55128 Mainz, Germany

来源：

ADVANCES IN MATHEMATICS | 2019年 / 350卷

基金：

英国工程与自然科学研究理事会;

关键词：

Log Gromov-Witten invariants; Local Gromov-Witten invariants; Relative Gromov-Witten invariants; Degeneration formula; Maximal tangency; Counting affine lines; DEGENERATION FORMULA; PAIRS; MAPS;

D O I：

10.1016/j.aim.2019.04.063

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a simple equivalence between the virtual count of rational curves in the total space of an anti-nef line bundle and the virtual count of rational curves maximally tangent to a smooth section of the dual line bundle. We conjecture a generalization to direct sums of line bundles. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：860 / 876

页数：17

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