Real Representatives of Equisingular Strata of Simple Quartic Surfaces
Real Representatives of Equisingular Strata of Simple Quartic Surfaces
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.
Description
Keywords
Projective Model, K3-Surface, Complex Quartic, Singular Quartic, K 3-Surface, Mathematics - Algebraic Geometry, FOS: Mathematics, Algebraic Geometry (math.AG), \(K 3\)-surface, projective model, \(K3\) surfaces and Enriques surfaces, Families, moduli, classification: algebraic theory, complex quartic, singular quartic, Singularities of surfaces or higher-dimensional varieties
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Scopus Q
OpenCitations Citation Count
2
Volume
30
Issue
12
Start Page
1950063