Improvement of Grauert-Riemenschneider's theorem for a normal surface

DOI10.5802/aif.892zbMath0488.32013OpenAlexW2049025907MaRDI QIDQ1165987

Jean Giraud

Publication date: 1982

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1982__32_4_13_0

zbMATH Keywords

Picard groupvanishing theoremCartier divisorWeil divisorgenus formulaeffective exceptional divisornumerical criterion for rationality

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Divisors, linear systems, invertible sheaves (14C20) Picard groups (14C22) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) Vanishing theorems (32L20) Curves in algebraic geometry (14H99)

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Weil divisors on normal surfaces, Kummer surfaces for the self-product of the cuspidal rational curve, NORMAL HILBERT COEFFICIENTS AND ELLIPTIC IDEALS IN NORMAL TWO-DIMENSIONAL SINGULARITIES, Good ideals and \(p_g\)-ideals in two-dimensional normal singularities, When does the subadditivity theorem for multiplier ideals hold?, Complex surface singularities with integral homology sphere links, A vanishing theorem for line bundles on resolutions of surface singularities, Curves and proximity on rational surface singularities, On strong vanishing property and plurigenera of isolated singularities, A characterization of two-dimensional rational singularities via core of ideals, Une propriété asymptotique des puissances symboliques d'un idéal. Application à la théorie de l'intersection sur les surfaces normales, Good ideals in Gorenstein local rings, Filtered rings, filtered blowing-ups and normal two-dimensional singularities with ``star-shaped resolution, What is missing in canonical models for proper normal algebraic surfaces?

Cites Work

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• Vanishing theorems for resolutions of surface singularities
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• Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen
• On Isolated Rational Singularities of Surfaces