Mathematische Zeitschrift

, Volume 258, Issue 2, pp 319–331 | Cite as

Picard group of moduli of hyperelliptic curves

Article

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.

Keywords

Hyperelliptic curves Coarse moduli scheme Stack Picard group 

Mathematics Subject Classification (2000)

14D22 14H10 14C22 

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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Steklov Mathematical InstituteMoscowRussia
  2. 2.Dip. MatematicaUniversità di Roma Tor VergataRomeItaly

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