Real Representatives of Equisingular Strata of Simple Quartic Surfaces

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BRONZE

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Yes

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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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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

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0101 mathematics, 01 natural sciences

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2

Volume

30

Issue

12

Start Page

1950063

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Citations

Scopus : 3

SCOPUS™ Citations

3

checked on Jun 03, 2026

Web of Science™ Citations

3

checked on Jun 03, 2026

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7

checked on Jun 03, 2026

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