On Siegel three folds with a projective Calabi--Yau model

Mathematics – Algebraic Geometry

Scientific paper

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31 pages

Scientific paper

In two recent papers, we described some Siegel modular threefolds which admit
a weak Calabi--Yau model. Not all of them admit a {\it projective} model. The
purpose of this paper is to exhibit criterions for the projectivity, to treat
several examples, and to compute their Hodge numbers.

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