An affine open covering of M_g for g ≤ 5

2011/03/14 by Claudio Fontanari, Fontanari, Claudio, Stefano Pascolutti +1 · 2 citations
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1103.2646

openalex publication_date 2011/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the moduli space M_g of smooth curves of genus g is the union of g-1 affine open subsets for every g with 2 ≤ g ≤ 5, as predicted by an intriguing conjecture of Eduard Looijenga.

Cited by

• Cohomological amplitude for constructible sheaves on moduli spaces of\n curves
• Real normalized differentials and compact cycles in the moduli space of curves

Related

• The moduli space of étale double covers of genus 5 curves is unirational
• Twisted bundles and admissible covers
• Moduli of certain wild covers of curves
• Moduli space of genus one curves on cubic threefold
• Belyi pair for the orientation cover of \mathcal M_0,5^{\mathbb R}