A remark on the rational cohomology of bar{S}_(1,n)
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cohomologygrouprationalboundaryclassescornalbacurvesfirst
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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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