Rational cohomology of R2 (and S2)
Abstract
We compute the rational cohomology ring of R2, the (compactified) moduli space of Prym curves of genus 2. We also recompute the rational cohomology ring of S2, 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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