Holomorphic differential forms on moduli spaces of stable curves

被引：0

作者：

Fontanari, Claudio ^{[1
]}

机构：

[1] Univ Trento, Dipartimento Matemat, Via Sommarive 14, I-38123 Trento, Italy

来源：

GEOMETRIAE DEDICATA | 2024年 / 218卷 / 01期

关键词：

Moduli spaces; Stable curves; Holomorphic differential forms; Hodge numbers; Cohomology groups; DIMENSION;

D O I：

10.1007/s10711-023-00851-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the space of holomorphic p-forms on the moduli space M <overbar> </mml:mover> g , n of stable curves of genus g with n marked points vanishes for p = 14 , 16 , 18 unconditionally and also for p = 20 under a natural assumption in the case g <mml:mo>= 3 . This result is consistent with the Langlands program and it is obtained by applying the Arbarello-Cornalba inductive approach to the cohomology of moduli spaces.

引用

页数：4

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