Teichm\"uller spaces of Generalized Hyperelliptic Manifolds

Fabrizio Catanese; Pietro Corvaja

Teichm\"uller spaces of Generalized Hyperelliptic Manifolds

Complex Variables 2020-10-02 v2 Algebraic Geometry

Authors: Fabrizio Catanese , Pietro Corvaja

Abstract

In this paper we achieve a description of the connected components of Teichm\"uller space corresponding to Generalized Hyperelliptic Manifolds $X$ . These are the quotients $X = T/G$ of a complex torus $T$ by the free action of a finite group $G$ , and they are also the K\"ahler classifying spaces for a certain class of Euclidean cristallographic groups $\Gamma$ , the ones which are torsion free and even.

Keywords

torus actions on manifolds teichmüller theory

Cite

@article{arxiv.1705.01351,
  title  = {Teichm\"uller spaces of Generalized Hyperelliptic Manifolds},
  author = {Fabrizio Catanese and Pietro Corvaja},
  journal= {arXiv preprint arXiv:1705.01351},
  year   = {2020}
}

Comments

Final version, appeared in the Proceedings of the Conference `Complex and Symplectic Geometry' (Cortona, June 2016), published by Springer Lecture Notes in Mathematics series of INdAM

Teichm\"uller spaces of Generalized Hyperelliptic Manifolds

Abstract

Keywords

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