Trascendental Lattices of some K3-surfaces

2005/05/20 by Alessandra Sarti, A. Sarti, Sarti, Alessandra
Computer Science · Mathematics · #14C22 #14J28 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #math.AG #msc:14C22 #msc:14J28

paper · pdf · doi:10.48550/arxiv.math/0505441

16 pages

arxiv created 2005/05/20 · openalex publication_date 2005/05/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a previous paper, math.AG/0409419, we described six families of K3-surfaces with Picard-number 19, and we identified surfaces with Picard-number 20. In these notes we classify some of the surfaces by computing their transcendental lattices. Moreover we show that the surfaces with Picard-number 19 are birational to a Kummer surface which is the quotient of a non-product type abelian surface by an involution.

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