The rational cohomology of \Mbar_4

Details The rational cohomology of \Mbar_4 The rational cohomology of \Mbar_4

2005-06-24

arxiv.org/abs/math/0506502v2

Math. Ann. 338 (2007), no. 1, 207-239

Mathematics

Algebraic Geometry

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

Scientific paper

10.1007/s00208-006-0073-z

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.

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