Supplement to ''Hodge spectral sequence on compact Kähler spaces''
type: Item
instance of: scholarly article
title: Supplement to ''Hodge spectral sequence on compact Kähler spaces''
zbMATH Open document ID: 0744.32015
author: Takeo Ohsawa
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1992-09-26T00:00:00Z
review text: The purpose of this short note is to supplement the author's previous article [Publ. Res. Inst. Math. Sci. 23, 613-625 (1987; Zbl 0635.32008)] by exhibiting a rigorous proof of the dual \(L^ 2\) Poincaré lemma as well as its \(\overline\partial\)-analogue (cf. Proposition 4.1 (7), p. 272 in the cited paper). We have stated there that up to a slight change its proof is similar to that of the ordinary one, for which we had given a detailed proof. However, it turned out that the proof requires a different technique which does not seem to be in the literature. Therefore the author would like to present it here.
Mathematics Subject Classification ID: 32L15
Mathematics Subject Classification ID: 32L20
Mathematics Subject Classification ID: 32F10
Mathematics Subject Classification ID: 32J25
Mathematics Subject Classification ID: 53B35
zbMATH DE Number: 55946
zbMATH Keywords: Hodge relations
zbMATH Keywords: singular Kähler spaces
zbMATH Keywords: \(q\)-completeness
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195169666
OpenAlex ID: W1975891256
cites work: Hodge spectral sequence and symmetry on compact Kähler spaces
cites work: Lectures on Levi convexity of complex manifolds and cohomology vanishing theorems. Notes by M.S.Raghunathan
DOI: 10.2977/PRIMS/1195169666
description: scientific article; zbMATH DE number 55946