The canonical filtration of higher dimensional purely elliptic singularity of a special type

DOI10.1007/BF01245087zbMath0778.14014OpenAlexW2093721296MaRDI QIDQ1176642

Masataka Tomari

Publication date: 25 June 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143893

zbMATH Keywords

minimal modelcanonical modelquasihomogeneous hypersurface singularityvery good elliptic singularities

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Minimal model program (Mori theory, extremal rays) (14E30) Hypersurfaces and algebraic geometry (14J70)

Related Items

The topological types of hypersurface simple \(K3\) singularities, On the defining equations of hypersurface purely elliptic singularities, Hypersurface simple K3 singularities, A geometric characterization of a simple \(K3\)-singularity

Cites Work

• Unnamed Item
• Unnamed Item
• On plurigenera of normal isolated singularities. I
• Toroidal embeddings. I
• On isolated Gorenstein singularities
• Hypersurface simple K3 singularities
• On canonical singularities as total spaces of deformations
• Threefolds and deformations of surface singularities
• Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
• Deformations of quasi-homogeneous surface singularities
• Rationale quasihomogene Singularitäten
• Rationalité des singularités canoniques
• Simple K3 singularities which are hypersurface sections of toric singularities
• Einfach-elliptische Singularitäten
• Cyclic covers of normal graded rings
• Filtered rings, filtered blowing-ups and normal two-dimensional singularities with ``star-shaped resolution
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Quasihomogeneous isolated singularities of hyperplanes.
• Terminal Quotient Singularities in Dimensions Three and Four
• Some remarks concerning Demazure’s construction of normal graded rings
• On 3-dimensional terminal singularities
• Flip Theorem and the Existence of Minimal Models for 3-Folds
• Divisorenklassengruppen quasihomogener Singularitäten.
• Equations defining rational singularities