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arXiv:math/0609705 [math.AG]AbstractReferencesReviewsResources

Picard group of moduli of hyperelliptic curves

Sergey Gorchinskiy, Filippo Viviani

Published 2006-09-25, updated 2007-03-05Version 2

The main subject of this work is the difference between the coarse moduli space and the stack of hyperelliptic curves. We compute their Picard groups, giving explicit description of the generators. We get an application to the (non-)existence of a tautological family over the coarse moduli space.

Comments: 13 pages. Section 2 has been shortened and the final appendix has been erased. Final version, to appear on Math. Zeit
Journal: Math. Zeit. 258 (2008), no. 2, 319--331
Categories: math.AG
Subjects: 14D22, 14H10, 14C22
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