Stable cohomology of moduli spaces of hyperelliptic curves on Hirzebruch surfaces

Fuente: arXiv
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Main Authors: Bergström, Jonas, Zheng, Angelina
Format: Preprint
Published: 2023
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author Bergström, Jonas
Zheng, Angelina
author_facet Bergström, Jonas
Zheng, Angelina
contents We compute the stable cohomology of moduli spaces of hyperelliptic curves of a fixed genus embedded on a fixed Hirzebruch surface. We also describe these moduli spaces of embedded hyperelliptic curves in terms of moduli spaces of pointed non-embedded hyperelliptic curves.
format Preprint
id arxiv_https___arxiv_org_abs_2312_14800
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Stable cohomology of moduli spaces of hyperelliptic curves on Hirzebruch surfaces
Bergström, Jonas
Zheng, Angelina
Algebraic Geometry
14H10, 11G20
We compute the stable cohomology of moduli spaces of hyperelliptic curves of a fixed genus embedded on a fixed Hirzebruch surface. We also describe these moduli spaces of embedded hyperelliptic curves in terms of moduli spaces of pointed non-embedded hyperelliptic curves.
title Stable cohomology of moduli spaces of hyperelliptic curves on Hirzebruch surfaces
topic Algebraic Geometry
14H10, 11G20
url https://arxiv.org/abs/2312.14800