Double covers of P³ and Calabi-Yau varieties

1999/02/08 by Sławomir Cynk, Slawomir Cynk, Cynk, Slawomir +2
Mathematics · #14J17 #14J32 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG #msc:14J17 #msc:14J32

paper · pdf · doi:10.48550/arxiv.math/9902057

11 pages

arxiv created 1999/02/08 · openalex publication_date 1999/02/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a class of Calabi-Yau varieties that can be represented as a non-singular model of a double covering of \mathbb P³ branched along certain octic surfaces. We compute Euler numbers of all constructed examples and describe their resolution of singularities.

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