高亏格中加权稳定曲线的热带模空间的拓扑

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2020-10-22 DOI:10.1515/advgeom-2023-0009

S. Kannan, Shiyue Li, S. Serpente, Claudia He Yun

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引用次数: 7

摘要

摘要研究了具有固定格和单位体积的加权稳定热带曲线Δg的模空间拓扑。空间Δg,w是加权稳定曲线的Hassett模空间Mg,w中奇异曲线的因子的对偶复形。当属为正时，我们证明Δg,w对于任何选择的权向量w都是单连通的。我们还根据权向量的组合给出了Δg,w的欧拉特性的公式。

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Topology of tropical moduli spaces of weighted stable curves in higher genus

Abstract We study the topology of moduli spaces of weighted stable tropical curves Δg,w with fixed genus and unit volume. The space Δg,w arises as the dual complex of the divisor of singular curves in Hassett’s moduli space Mg,w of weighted stable curves. When the genus is positive, we show that Δg,w is simply connected for any choice of weight vector w. We also give a formula for the Euler characteristic of Δg,w in terms of the combinatorics of the weight vector.

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.