Abstract
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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The first author was supported by RFFI grants no. 04-01-00613, 05-01-00455 and INTAS grant no. 05-1000008-8118.
The second author was supported by a grant from Mittag-Leffler Institute.
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Gorchinskiy, S., Viviani, F. Picard group of moduli of hyperelliptic curves. Math. Z. 258, 319–331 (2008). https://doi.org/10.1007/s00209-007-0173-9
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DOI: https://doi.org/10.1007/s00209-007-0173-9