Birational geometry of the Mukai system of rank two and genus two

2020/09/01 by Hellmann, Isabell
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.00489

Abstract

Using the techniques of Bayer--Macrì, we determine the walls in the movable cone of the Mukai system of rank two for a general K3 surface S of genus two. We study the (essentially unique) birational map to S^[5] and decompose it into a sequence of flops. We give an interpretation of the exceptional loci in terms of Brill--Noether loci.

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