The Q-Picard group of the moduli space of curves in positive characteristic
classification
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keywords
groupcurvesmoduliproveq-picardspacealgebraicallybijective
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In this note, we prove that the Q-Picard group of the moduli space of n-pointed stable curves of genus g over an algebraically closed field is generated by the tautological classes. We also prove that the cycle map to the 2nd etale cohomology group is bijective.
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