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.

Gorchinskiy, S., Viviani, F. (2008). Picard group of moduli of hyperelliptic curves. MATHEMATISCHE ZEITSCHRIFT, 258, 319-331.

Picard group of moduli of hyperelliptic curves

VIVIANI, FILIPPO
2008-01-01

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.
2008
Gorchinskiy, S., Viviani, F. (2008). Picard group of moduli of hyperelliptic curves. MATHEMATISCHE ZEITSCHRIFT, 258, 319-331.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/118385
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