vix.ing · top · new · best · stats · spec

Some Siegel threefolds with a Calabi-Yau model II

2010/01/02 by Eberhard Freitag, E. Freitag, Freitag, E. +3
Mathematics · #11F46 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #math.AG #math.NT #msc:11F46

paper · pdf · doi:10.48550/arxiv.1001.0324

23 pages, no figures

openalex publication_date 2010/01/02 · arxiv created 2010/05/14 · arxiv updated 2010/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the paper [FSM] we described some Siegel modular threefolds which admit a Calabi-Yau model. Using a different method we give in this paper an enlarged list of such varieties that admits a Calabi-Yau model in the following weak sense: there exists a desingularization in the category of complex spaces of the Satake compactification which admits a holomorphic three-form without zeros and whose first Betti number vanishes Basic for our method is the paper [GN] of van Geemen and Nygaard.

Related