Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-24T04:31:29.789Z Has data issue: false hasContentIssue false
  • English
  • Français

Rational cohomology of the moduli space of genus 4 curves

Published online by Cambridge University Press:  10 February 2005

Orsola Tommasi
Orsola Tommasi
Affiliation:
Department of Mathematics, University of Nijmegen, Toernooiveld, 6525 ED Nijmegen, The [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We compute the mixed Hodge structure on the rational cohomology of the moduli space of smooth genus 4 curves. Specifically, we prove that its Poincaré–Serre polynomial is 1 + t2u2 + t4u4 + t5u6. We show this by producing a stratification of the space, such that all strata are geometric quotients of complements of discriminants.

Keywords

rational cohomologymoduli of curvesdiscriminants14H10 (primary)55R8014R3014F99 (secondary)
Type
Research Article
Information
Compositio Mathematica , Volume 141 , Issue 2 , March 2005 , pp. 359 - 384
Copyright
Foundation Compositio Mathematica 2005