Some Siegel threefolds with a Calabi-Yau model II

Details Some Siegel threefolds with a Calabi-Yau model II Some Siegel threefolds with a Calabi-Yau model II

2010-01-02

arxiv.org/abs/1001.0324v2

Mathematics

Algebraic Geometry

23 pages, no figures

Scientific paper

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.

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