REDUCED INVARIANTS FROM CUSPIDAL MAPS

被引：5

作者：

Battistella, Luca ^{[1
]}

Carocci, Francesca ^{[2
]}

Manolache, Cristina ^{[3
]}

机构：

[1] Heidelberg Univ, Math Inst, Heidelberg, Germany

[2] Univ Edinburgh, Sch Math, Edinburgh, Midlothian, Scotland

[3] Univ Sheffield, Sch Math & Stat, Sheffield, S Yorkshire, England

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 373卷 / 09期

基金：

英国工程与自然科学研究理事会;

关键词：

GROMOV-WITTEN INVARIANTS; GENUS-ONE; ELLIPTIC-CURVES; MODULAR COMPACTIFICATIONS; STABLE MAPS; SPACE; GEOMETRY;

D O I：

10.1090/tran/8141

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider genus one enumerative invariants arising from the Smyth-Viscardi moduli space of stable maps from curves with nodes and cusps. We prove that these invariants are equal to the reduced genus one invariants of the quintic threefold, providing a modular interpretation of the latter.

引用

页码：6713 / 6756

页数：44

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