A \(p_ g\)-formula and elliptic singularities

DOI10.2977/prims/1195179626zbMath0589.14013OpenAlexW1996154266MaRDI QIDQ1073854

Masataka Tomari

Publication date: 1985

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195179626

zbMATH Keywords

minimal resolutionelliptic singularitiesnormal two dimensional singularitiesZariski's canonical resolution

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17)

Related Items

Curves with only triple ramification., NORMAL HILBERT COEFFICIENTS AND ELLIPTIC IDEALS IN NORMAL TWO-DIMENSIONAL SINGULARITIES, Links and analytic invariants of superisolated singularities, Normal quintic surfaces which are birationally Enriques surfaces, Cohomology of ideals in elliptic surface singularities, Milnor numbers for surface singularities, Lattice cohomology of normal surface singularities, On the Casson Invariant Conjecture of Neumann–Wahl, Numerical Gorenstein elliptic singularities, Filtered rings, filtered blowing-ups and normal two-dimensional singularities with ``star-shaped resolution, The Abel map for surface singularities. III: Elliptic germs, ON -K² FOR NORMAL SURFACE SINGULARITIES, Normal Reduction Numbers of Normal Surface Singularities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the resolution process of normal Gorenstein surface singularity with \(p_ a\leq 1\)
• A geometric characterization of normal two-dimensional singularities of multiplicity two with \(p_ a\leq 1\)
• On the Hilbert-Samuel polynomial in complex analytic geometry
• On the minimal models of complex manifolds
• On deformations of quintic surfaces
• La fonction zeta d'une monodromie
• On the associated graded ring of a local Cohen-Macaulay ring
• On graded rings. I
• Die Sätze von Bertini für lokale Ringe
• Cohen-Macaulay local rings of maximal embedding dimension
• On the equivalence of imbeddings of exceptional complex spaces
• Über die Auflösung gewisser Singularitäten von holomorphen Abbildungen
• Toward a numerical theory of ampleness
• Algebraic approximation of structures over complete local rings
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Certain numerical characters of singularities
• Introduction to Grothendieck duality theory
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Hypersurface Weighted Dual Graphs of Normal Singularities of Surfaces
• Gorenstein Singularities with Geometric Genus Equal to Two
• On Strongly Elliptic Singularities
• The Structure of an Isolated Multiple Point of a Surface. I
• THE GENUS OF AN ALGEBRAIC CURVE
• Some Numerical Criteria for Contractability of Curves on Algebraic Surfaces
• Polyèdre de Newton et genre géométrique d'une singularité intersection complète
• Hyperelliptic Linear Systems on a K 3 Surface
• On Maximally Elliptic Singularities
• Equations defining rational singularities
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• On Minimally Elliptic Singularities
• On the Factoriality of Local Rings of Small Embedding Codimension
• On Isolated Rational Singularities of Surfaces
• Local Rings of High Embedding Dimension
• Elliptic Singularities of Surfaces
• Normal Two-Dimensional Singularities. (AM-71)
• A Note on the Coefficients of the Abstract Hilbert Function
• On the De Rham cohomology of algebraic varieties