双分支环的对数交集

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2021-04-23 DOI:10.14231/ag-2022-017

D. Holmes, Rosa Schwarz

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引用次数: 14

摘要

通过对分段多项式函数概念的推广，我们描述了对数光滑代数堆栈的对数周氏环和同义子的理论。利用这一机制，我们证明了双双分枝循环位于曲线模空间的(经典)Chow环的同义子上，并且对数双分枝循环是可分的(由Molcho, Pandharipande和Schmitt推测)。

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Logarithmic intersections of double ramification cycles

We describe a theory of logarithmic Chow rings and tautological subrings for logarithmically smooth algebraic stacks, via a generalisation of the notion of piecewise-polynomial functions. Using this machinery we prove that the double-double ramification cycle lies in the tautological subring of the (classical) Chow ring of the moduli space of curves, and that the logarithmic double ramification cycle is divisorial (as conjectured by Molcho, Pandharipande, and Schmitt).

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来源期刊

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.