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arXiv:1504.07913 [math.AG]AbstractReferencesReviewsResources

The Picard groups of the stacks $Y_0(2)$ and $Y_0(3)$

Andrew Niles

Published 2015-04-29Version 1

We compute the Picard group of the stack of elliptic curves equipped with a cyclic subgroup of order two, and of the stack of elliptic curves equipped with a cyclic subgroup of order three, over any base scheme on which 6 is invertible. This generalizes a result of Fulton-Olsson, who computed the Picard group of the stack of elliptic curves (with no level structure) over a wide variety of base schemes.

Comments: 6 pages
Categories: math.AG, math.NT
Subjects: 14D22, 14D23, 14D05, 14H52
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