Real representatives of equisingular strata of simple quartic surfaces

2018/10/12 by Aktas, Cisem Gunes
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.05442

Abstract

We develop an algorithm detecting real representatives in equisingular strata of projective models of K3-surfaces. We apply this algorithm to spatial quartics and find two new examples of real strata without real representatives. As a by-product, we also give a new proof for the only previously known example of plane sextics.

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