加权爆炸的积分周氏环

IF 0.9 1区数学 Q2 MATHEMATICS

Algebra & Number Theory Pub Date : 2025-05-14 DOI:10.2140/ant.2025.19.1231

Veronica Arena, Stephen Obinna

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引用次数: 0

摘要

我们给出了加权爆炸的周氏环的公式。在此过程中，我们还计算了加权投影堆束的Chow环，一个加权爆破的Gysin同态的公式，以及分裂原理的推广。此外，在附录中，我们计算了加权爆破的Chern类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The integral Chow ring of weighted blow-ups

We give a formula for the Chow rings of weighted blow-ups. Along the way, we also compute the Chow rings of weighted projective stack bundles, a formula for the Gysin homomorphism of a weighted blow-up, and a generalization of the splitting principle. In addition, in the Appendix we compute the Chern class of a weighted blow-up.

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来源期刊

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： ANT’s inclusive definition of algebra and number theory allows it to print research covering a wide range of subtopics, including algebraic and arithmetic geometry. ANT publishes high-quality articles of interest to a broad readership, at a level surpassing all but the top four or five mathematics journals. It exists in both print and electronic forms. The policies of ANT are set by the editorial board — a group of working mathematicians — rather than by a profit-oriented company, so they will remain friendly to mathematicians'' interests. In particular, they will promote broad dissemination, easy electronic access, and permissive use of content to the greatest extent compatible with survival of the journal. All electronic content becomes free and open access 5 years after publication.