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Calabi-Yau complete intersections with infinitely many lines

2004/02/27 by Marcello Bernardara, Bernardara, Marcello
Mathematics · #14J30 #14J32 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Geometry and complex manifolds #math.AG #msc:14J30 #msc:14J32

paper · pdf · doi:10.48550/arxiv.math/0402454

10 pages

arxiv created 2004/02/27 · openalex publication_date 2004/02/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give two new examples of families of Calabi-Yau complete intersection threefolds whose generic element contains infinitely many lines. We get some results about the normal bundles of these lines and the Hilbert scheme of lines on the threefolds.

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