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



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.


Moduli space of curves Kodaira dimension Difference variety Jacobian variety 

Mathematics Subject Classification

14H10 14H40 14H42 


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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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