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

Understand

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.