DESCENDANT LOG GROMOV-WITTEN INVARIANTS FOR TORIC VARIETIES AND TROPICAL CURVES

被引：39

作者：

Mandel, Travis ^{[1
]}

Ruddat, Helge ^{[2
]}

机构：

[1] Univ Edinburgh, Sch Math, Edinburgh EH9 3FD, Midlothian, Scotland

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

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 373卷 / 02期

基金：

新加坡国家研究基金会; 美国国家科学基金会; 欧洲研究理事会;

关键词：

STABLE MAPS; INTERSECTION THEORY; MIRROR SYMMETRY; GEOMETRY; STACKS;

D O I：

10.1090/tran/7936

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using degeneration techniques, we prove the correspondence of tropical curve counts and log Gromov-Witten invariants with general incidence and psi-class conditions in toric varieties for genus zero curves. For higher-genus situations, we prove the correspondence for the non-superabundant part of the invariant. We also relate the log invariants to the ordinary ones, in particular explaining the appearance of negative multiplicities in the descendant correspondence result of Mark Gross.

引用

页码：1109 / 1152

页数：44

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