English

Rational cohomology of \bar R_2 (and \bar S_2)

Algebraic Geometry 2010-12-24 v1

Abstract

We compute the rational cohomology ring of \bar R_2, the (compactified) moduli space of Prym curves of genus 2. We also recompute the rational cohomology ring of \bar S_2, the moduli space of spin curves of genus 2, thereby correcting some errors made in an article by G. Bini and C. Fontanari, containing a computation of the same ring.

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Cite

@article{arxiv.1012.5191,
  title  = {Rational cohomology of \bar R_2 (and \bar S_2)},
  author = {Sebastian Krug},
  journal= {arXiv preprint arXiv:1012.5191},
  year   = {2010}
}

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58 pages