A note on simple \(K3\) singularities and families of weighted \(K3\) surfaces

DOI10.1007/s12215-023-00894-4arXiv2305.04418OpenAlexW4376505076MaRDI QIDQ6185750

Makiko Mase

Publication date: 30 January 2024

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.04418

zbMATH Keywords

simple \(K3\) singularitySeifert formPicard latticefamily of weighted \(K3\) surfaces

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Singularities of surfaces or higher-dimensional varieties (14J17) Complex surface and hypersurface singularities (32S25)

Cites Work

• Hypersurface simple K3 singularities
• Singularities and topology of hypersurfaces
• A geometric characterization of a simple \(K3\)-singularity
• Real Seifert form determines the spectrum for semiquasihomogeneous hypersurface singularities in \(\mathbb{C}^3\)
• Isolated singularities defined by weighted homogeneous polynomials
• Quadratic forms on finite groups, and related topics
• The Jacobian fibrations on some K³ surfaces and their Mordell-Weil groups
• PICARD GROUP OF HYPERSURFACES IN TORIC 3-FOLDS
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• PICARD LATTICES OF FAMILIES OF K3 SURFACES
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