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On the Picard Group of the Moduli Space of Curves via $r$-Spin Structures
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classification
math.AG
keywords
arbarello-cornalbacasecohomologycomparingconjecturecurvesexplicitexpressions
abstract
In this paper, we obtain explicit expressions for Pandharipande-Pixton-Zvonkine relations in the second rational cohomology of $\overline{\mathcal{M}}_{g,n}$ and comparing the result with Arbarello-Cornalba's theorem we prove Pixton's conjecture in this case.
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