Cohomology of the moduli space of smooth plane quartic curves with an odd theta characteristic

2010/02/20 by Orsola Tommasi, Tommasi, Orsola
Mathematics · #14F99 (Secondary) #14H10 (Primary) #55R80 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14F99 #msc:14H10 #msc:55R80

paper · pdf · doi:10.48550/arxiv.1002.3863

27 pages

arxiv created 2010/02/20 · openalex publication_date 2010/02/20 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the rational cohomology of the moduli space of non-singular non-hyperelliptic complex projective curves of genus 3 with an odd theta characteristic.

Related

• Rational cohomology of M₃,2
• Classification of genus 3 curves in special strata of the moduli space
• Stable cohomology of the moduli space of trigonal curves
• Non hyperelliptic curves of genus three over finite fields of characteristic two
• Cohomology classes on moduli of curves from Theta Characteristics