A remark on the rational cohomology of $\bar{S}_{1,n}$

Details A remark on the rational cohomology of $\bar{S}_{1,n}$ A remark on the rational cohomology of $\bar{S}_{1,n}$

2008-06-09

arxiv.org/abs/0806.1401v1

Mathematics

Algebraic Geometry

Scientific paper

We focus on the rational cohomology of Cornalba's moduli space of spin curves
of genus 1 with $n$ marked points. In particular, we show that both its first
and its third cohomology group vanish and the second cohomology group is
generated by boundary classes.

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