Picard group of moduli of hyperelliptic curves

Details Picard group of moduli of hyperelliptic curves Picard group of moduli of hyperelliptic curves

2006-09-25

arxiv.org/abs/math/0609705v2

Math. Zeit. 258 (2008), no. 2, 319--331

Mathematics

Algebraic Geometry

13 pages. Section 2 has been shortened and the final appendix has been erased. Final version, to appear on Math. Zeit

Scientific paper

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.

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