Some Siegel threefolds with a Calabi-Yau model

2009/05/26 by Eberhard Freitag, Freitag, Eberhard, Riccardo Salvati Manni +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT) #math.AG #math.NT

paper · pdf · doi:10.48550/arxiv.0905.4150

18 pages, We give a different proof of Theorem 2.6 and we correct several misprints

openalex publication_date 2009/05/26 · arxiv created 2009/11/27 · arxiv updated 2009/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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