A geometric characterization of a simple \(K3\)-singularity

DOI10.2748/tmj/1178227372zbMath0792.14004OpenAlexW1977288437MaRDI QIDQ1324167

Kimio Watanabe, Shihoko Ishii

Publication date: 25 July 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227372

zbMATH Keywords

mixed Hodge structureexceptional divisorsimple \(K3\)-singularity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Modifications; resolution of singularities (complex-analytic aspects) (32S45) (K3) surfaces and Enriques surfaces (14J28) (3)-folds (14J30) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)

Related Items (5)

On Fano 3-folds with non-rational singularities and two-dimensional base ⋮ HYPERSURFACE EXCEPTIONAL SINGULARITIES ⋮ The topological types of hypersurface simple \(K3\) singularities ⋮ A note on simple \(K3\) singularities and families of weighted \(K3\) surfaces ⋮ On the defining equations of hypersurface purely elliptic singularities

Cites Work

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• On plurigenera of normal isolated singularities. I
• On isolated Gorenstein singularities
• Hypersurface simple K3 singularities
• On normal projective surfaces with trivial dualizing sheaf
• The canonical filtration of higher dimensional purely elliptic singularity of a special type
• Distribution formula for terminal singularities on the minimal resolution of a quasi-homogeneous simple \(K3\) singularity
• Einfach-elliptische Singularitäten
• Flip Theorem and the Existence of Minimal Models for 3-Folds

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