Holomorphic differential forms on moduli spaces of stable curves

被引：0
|
作者：
Fontanari C. [1 ]
机构：
[1] Dipartimento di Matematica, Università degli Studi di Trento, Via Sommarive 14, Povo, Trento
来源：
Geometriae Dedicata | 2024年 / 218卷 / 1期
关键词：
Cohomology groups; Hodge numbers; Holomorphic differential forms; Moduli spaces; Stable curves;
D O I：
10.1007/s10711-023-00851-6
中图分类号：
学科分类号：
摘要：
We prove that the space of holomorphic p-forms on the moduli space M¯ 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= 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. © 2023, The Author(s).
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