English

The rational cohomology of \Mbar_4

Algebraic Geometry 2007-06-19 v2

Abstract

We present two approaches to the study of the cohomology of moduli spaces of curves. Together, they allow us to compute the rational cohomology of the moduli space \Mbar_4 of stable complex curves of genus 4, with its Hodge structure.

Keywords

Cite

@article{arxiv.math/0506502,
  title  = {The rational cohomology of \Mbar_4},
  author = {Jonas Bergström and Orsola Tommasi},
  journal= {arXiv preprint arXiv:math/0506502},
  year   = {2007}
}

Comments

28 pages. Changes mainly of notational and expository nature. The published paper is available at http://www.springerlink.com