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Picard group of moduli of hyperelliptic curves

Sergey Gorchinskiy·Filippo Viviani
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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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Sergey Gorchinskiy, Filippo Viviani. 2006-09-25. Picard group of moduli of hyperelliptic curves. https://arxiv.org/abs/math/0609705

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