Some Siegel threefolds with a Calabi-Yau model
Eberhard Freitag, Riccardo Salvati Manni
TL;DR
This paper presents examples of Calabi-Yau manifolds derived from desingularizations of Siegel threefolds, including the first known Siegel modular variety with a Calabi-Yau model.
Contribution
It introduces new examples of Calabi-Yau manifolds from Siegel threefolds and discusses the uniqueness of the Barth-Nieto example.
Findings
Identification of new Calabi-Yau models from Siegel threefolds
The first Siegel modular variety with a Calabi-Yau model
Discussion on the uniqueness of known examples
Abstract
In the following we describe some examples of Calabi-Yau manifolds, which arise as desingularizations of certain Siegel threefolds. The first Siegel modular variety with a Calabi-Yau model and the essentially only one up to now has been discovered by Barth and Nieto.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Geometry and complex manifolds