On Maximally Elliptic Singularities

DOI10.2307/1998298zbMath0343.32009OpenAlexW4232925345MaRDI QIDQ4112209

Stephen Shing-Toung Yau

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1998298

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Analytic algebras and generalizations, preparation theorems (32B05) Complex singularities (32Sxx)

Related Items (27)

Good ideals and \(p_g\)-ideals in two-dimensional normal singularities ⋮ Normal Two-Dimensional Elliptic Singularities ⋮ Links and analytic invariants of superisolated singularities ⋮ Cohomology of ideals in elliptic surface singularities ⋮ On strong vanishing property and plurigenera of isolated singularities ⋮ Classification of weighted dual graphs consisting of $-2$-curves and exactly one $-3$-curve ⋮ Maximal ideal cycles over normal surface singularities of Brieskorn type ⋮ On projective resolutions of Frobenius algebras and Gorenstein rings ⋮ Seiberg-Witten invariants and surface singularities ⋮ Normal canonical surfaces in projective 3-space ⋮ Quartic Surfaces of Elliptic Ruled Type ⋮ Lattice cohomology of normal surface singularities ⋮ On Quintic Surfaces of General Type ⋮ Numerical Gorenstein elliptic singularities ⋮ Chain-connected component decomposition of curves on surfaces ⋮ On almost minimally elliptic singularities ⋮ Classification of weighted dual graphs with only complete intersection singularities structures ⋮ On the resolution process of normal Gorenstein surface singularity with \(p_ a\leq 1\) ⋮ The Abel map for surface singularities. III: Elliptic germs ⋮ The Abel map for surface singularities. II: Generic analytic structure ⋮ The Abel map for surface singularities I: Generalities and examples ⋮ Elliptic surface singularities and smoothing of curves ⋮ Normal Reduction Numbers of Normal Surface Singularities ⋮ A geometric characterization of normal two-dimensional singularities of multiplicity two with \(p_ a\leq 1\) ⋮ Unnamed Item ⋮ Cyclic quotients of \(2\)-dimensional quasi-homogeneous hypersurface singularities ⋮ A \(p_ g\)-formula and elliptic singularities

Cites Work

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• Über vierdimensionale Riemannsche Flächen mehrdeutiger analytischer Funktionen von zwei komplexen Veränderlichen. (On four-dimensional Riemann surfaces of many-valued analytic functions of two complex variables)
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Einfach-elliptische Singularitäten
• Taut two-dimensional singularities
• Über die Auflösung gewisser Singularitäten von holomorphen Abbildungen
• Über Modifikationen und exzeptionelle analytische Mengen
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Über die Anwendung algebraischer Methoden in der Deformationstheorie komplexer Räume
• Singularities of complex surfaces with solvable local fundamental group
• Singularities of algebraic surfaces with \(\mathbb C^ *\) action
• Isolated singularities of algebraic surfaces with \(\mathbb{C}^{*}\) action
• Rationale Singularitäten komplexer Flächen
• On the ubiquity of Gorenstein rings
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• A simplified proof for the resolution of singularities of an algebraic surface
• The Structure of an Isolated Multiple Point of a Surface. I
• Equisingular Deformations of Plane Algebroid Curves
• On Minimally Elliptic Singularities
• Studies in Equisingularity I Equivalent Singularities of Plane Algebroid Curves
• On Isolated Rational Singularities of Surfaces
• Elliptic Singularities of Surfaces
• Normal Two-Dimensional Singularities. (AM-71)
• On Rational Singuarities

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