具有环面胶合地层的Gromov-Witten不变量的分裂

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2023-11-13 DOI:10.1090/jag/826

Yixian Wu

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引用次数: 8

摘要

我们证明了一个分裂公式，在胶合层为环面变异体的假设下，由简单正交变异体不可约分量的刺破的Gromov-Witten不变量重构了简单正交变异体的对数Gromov-Witten不变量。该公式基于由Abramovich、Chen、Gross和Siebert开发的穿透式Gromov-Witten理论。

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Splitting of Gromov–Witten invariants with toric gluing strata

We prove a splitting formula that reconstructs the logarithmic Gromov–Witten invariants of simple normal crossing varieties from the punctured Gromov–Witten invariants of their irreducible components, under the assumption of the gluing strata being toric varieties. The formula is based on the punctured Gromov–Witten theory developed by Abramovich, Chen, Gross, and Siebert.

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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.