Smoothing q-convex functions in the singular case
type: Item
instance of: scholarly article
title: Smoothing q-convex functions in the singular case
zbMATH Open document ID: 0586.32023
DOI: 10.1007/BF01472137
author: K. Diederich
author: J. E. Fornæss
published in: Mathematische Annalen
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164079
review text: This article generalizes a previous paper by the same authors [Invent. Math. 82, 291-305 (1985; see the review above)) to any complex space. This leads to the following beautiful vanishing result: Theorem: Let \(A\subset {\mathbb{P}}^ n\) a closed algebraic subvariety of maximal codimension q, and let S be a coherent analytic sheaf on \({\mathbb{P}}^ n- A.\) If d is the dimension of the support of S, then \(H^ j({\mathbb{P}}^ n- A,S)=0\) for \(j\geq d-[\frac{d}{q}]+1.\)
Mathematics Subject Classification ID: 32F10
Mathematics Subject Classification ID: 32L20
zbMATH DE Number: 3939707
zbMATH Keywords: q-convexity with corners
zbMATH Keywords: vanishing theorems
reviewed by: Daniel Barlet
MaRDI profile type: Publication
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OpenAlex ID: W2066387698
description: scientific article; zbMATH DE number 3939707