On Siegel three folds with a projective Calabi--Yau model
Eberhard Freitag, Riccardo Salvati Manni
TL;DR
This paper investigates conditions under which Siegel modular threefolds with weak Calabi--Yau models are projective, providing criteria, examples, and Hodge number computations to advance understanding of their geometric properties.
Contribution
It establishes criteria for projectivity of Siegel modular threefolds with Calabi--Yau models and computes their Hodge numbers, expanding knowledge of their geometric structure.
Findings
Criteria for projectivity of Siegel threefolds
Examples illustrating projectivity conditions
Computed Hodge numbers for specific cases
Abstract
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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