Braid monodromy factorization for a non-prime K3 surface branch curve

2004/04/20 by Meirav Amram, Amram, M., Ciro Ciliberto +5
Computer Science · Engineering · Mathematics · #14D06 #14H30 #14J28 #14Q05 #14Q10 #14R05 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.math/0404364

openalex publication_date 2004/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is the second in a series. The first one describes pillow degenerations of a K3 surface with genus g. In this paper we study the (2,2)-pillow degeneration of a non-prime K3 surface and the braid monodromy of the branch curve of the surface with respect to a generic projection onto \C¶². In future papers we study the fundamental group of the complement of the branch curve and the fundamental group of the Galois cover of the surface with respect to this generic projection.

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