The Q-Picard group of the moduli space of curves in positive characteristic

Details The Q-Picard group of the moduli space of curves in positive characteristic The Q-Picard group of the moduli space of curves in positive characteristic

2000-12-04

arxiv.org/abs/math/0012016v2

Mathematics

Algebraic Geometry

14 pages. In version 2.0, we prove that the cycle map to the 2nd etale cohomology group is bijective

Scientific paper

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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