一般曲线上Brill-Noether变种的Betti数

IF 0.6 4区数学 Q3 MATHEMATICS

Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-07-23 DOI:10.4171/rlm/964

Camilla Felisetti, C. Fontanari

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引用次数: 0

摘要

我们计算了一般曲线C上光滑Brill-Noether变体G d (C)的整上同调群，并将d次、维数为r的线性序列参数化，作为应用，我们确定了奇异Brill-Noether轨迹W r d (C)的整交上同调，确定了C上d次、维数至少为r的完全线性序列参数化。

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Betti numbers of Brill–Noether varieties on a general curve

We compute the integral cohomology groups of the smooth Brill-Noether varieties G d (C), parametrizing linear series of degree d and dimension exactly r on a general curve C. As an application, we determine the whole intersection cohomology of the singular Brill-Noether loci W r d (C), parametrizing complete linear series on C of degree d and dimension at least r.

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来源期刊

Rendiconti Lincei-Matematica e Applicazioni MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal is dedicated to the publication of high-quality peer-reviewed surveys, research papers and preliminary announcements of important results from all fields of mathematics and its applications.