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Rational cohomology of ${\mathcal M}_{3,2}$

Published online by Cambridge University Press:  17 July 2007

Orsola Tommasi
Orsola Tommasi
Affiliation:
Institut für Mathematik, FB 08 — Physik, Mathematik und Informatik, Johannes-Gutenberg-Universität, D-55099 Mainz, Germany tommasi@mathematik.uni-mainz.de Institut Mittag-Leffler, Auravägen 17, SE-182 60 Djursholm, Sweden
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Abstract

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We compute the rational cohomology of the moduli space of non-singular complex plane quartic curves with two marked points. This allows us to calculate the rational cohomology of the moduli space of non-singular complex projective curves of genus three with two marked points.

Keywords

moduli spacetwo-pointed curves of genus threerational cohomologydiscriminants14H10 (primary)55R8014F99 (secondary)
Type
Research Article
Information
Compositio Mathematica , Volume 143 , Issue 4 , July 2007 , pp. 986 - 1002
Copyright
Foundation Compositio Mathematica 2007