Journal ArticleDOI
On plurigenera of normal isolated singularities. I
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This article is published in Mathematische Annalen.The article was published on 1980-02-01. It has received 85 citations till now. The article focuses on the topics: Essential singularity & Isolated singularity.read more
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F-Purity and Rational Singularity.
TL;DR: In this paper, it was shown that a ring R of characteristic p is F-pure if for every R-module M, 0 M? R M? 'R is exact where 1R denotes the R-algebra structure induced on R via the Frobenius map (if r E R and s E 1R, then r s = rPs in 1R).
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Rational, Log Canonical, Du Bois Singularities: On the Conjectures of Kollár and Steenbrink ?
TL;DR: In this article, it was shown that Du Bois singularities behave well with regard to Kodaira type vanishing theorems, and Koller and Steenbrink's conjecture was proved in its full generality.
References
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Journal ArticleDOI
On isolated rational singularities of surfaces.
TL;DR: In this paper, the authors considered the question of whether a singularity giving rise to such a configuration is necessarily a double point and showed that it is a triple point, which is the case for rational triple points.
Journal ArticleDOI
Algebraic approximation of structures over complete local rings
TL;DR: In this paper, the authors present a set of conditions générales d'utilisation of commercial or impression systématique, i.e., the copie ou impression de ce fichier doit contenir la présente mention de copyright.
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Théorèmes de finitude pour la cohomologie des espaces complexes
Aldo Andreotti,Hans Grauert +1 more
TL;DR: In this paper, Bourbaki implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/conditions).