Rendiconti del Circolo Matematico di Palermo

, Volume 62, Issue 1, pp 97–110

The universal difference variety over \(\overline{\mathcal{M }}_g\)

Article

DOI: 10.1007/s12215-013-0117-7

Cite this article as:
Farkas, G. & Verra, A. Rend. Circ. Mat. Palermo (2013) 62: 97. doi:10.1007/s12215-013-0117-7

Abstract

We determine the Kodaira dimension of the Deligne–Mumford compactification \(\overline{\mathfrak{Diff }}_g\) of the universal difference variety over the moduli space of curves.

Keywords

Moduli space of curves Kodaira dimension Difference variety Jacobian variety 

Mathematics Subject Classification

14H10 14H40 14H42 

Copyright information

© Springer-Verlag Italia 2013

Authors and Affiliations

  1. 1.Institut Für MathematikHumboldt-Universität zu BerlinBerlinGermany
  2. 2.Dipartimento di MatematicaUniversitá Roma TreRomaItaly

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