We investigate low degree rational cohomology groups of smooth compactifications of moduli spaces of curves with level structures. In particular, we determine H k(sgbar, Q) for g ge 2 and k le 3, where sgbar denotes the moduli space of spin curves of genus g.
On the Rational Cohomology of Moduli Spaces of Curves with Level Structures / G. Bini, C. Fontanari. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - 156:1(2012), pp. 127-139. [10.1007/s10711-011-9593-0]
On the Rational Cohomology of Moduli Spaces of Curves with Level Structures
G. BiniPrimo
;
2012
Abstract
We investigate low degree rational cohomology groups of smooth compactifications of moduli spaces of curves with level structures. In particular, we determine H k(sgbar, Q) for g ge 2 and k le 3, where sgbar denotes the moduli space of spin curves of genus g.
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