English

Some Siegel threefolds with a Calabi-Yau model II

Algebraic Geometry 2010-05-17 v2 Number Theory

Abstract

In the paper [FSM] we described some Siegel modular threefolds which admit a Calabi-Yau model. Using a different method we give in this paper an enlarged list of such varieties that admits a Calabi-Yau model in the following weak sense: there exists a desingularization in the category of complex spaces of the Satake compactification which admits a holomorphic three-form without zeros and whose first Betti number vanishes Basic for our method is the paper [GN] of van Geemen and Nygaard.

Keywords

Cite

@article{arxiv.1001.0324,
  title  = {Some Siegel threefolds with a Calabi-Yau model II},
  author = {E. Freitag and R. Salvati Manni},
  journal= {arXiv preprint arXiv:1001.0324},
  year   = {2010}
}

Comments

23 pages, no figures