Birational invariance in logarithmic Gromov-Witten theory

被引：51

作者：

Abramovich, Dan ^{[1
]}

Wise, Jonathan ^{[2
]}

机构：

[1] Brown Univ, Dept Math, Box 1917, Providence, RI 02912 USA

[2] Univ Colorado, Boulder, CO 80309 USA

来源：

COMPOSITIO MATHEMATICA | 2018年 / 154卷 / 03期

关键词：

Gromov-Witten theory; logarithmic structures; birational transformations; stable maps; BLOW-UPS; MAPS; CURVES; PAIRS; SCHEMES;

D O I：

10.1112/S0010437X17007667

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Gromov Witten invariants have been constructed to be deformation invariant, but their behavior under other transformations is subtle. We show that logarithmic Gromov-Witten invariants are also invariant under appropriately defined logarithmic modifications.

引用

页码：595 / 620

页数：26

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