Cubic hyper-equisingular families of complex projective varieties. I
type: Item
instance of: scholarly article
title: Cubic hyper-equisingular families of complex projective varieties. I
zbMATH Open document ID: 0852.32022
published in: Proceedings of the Japan Academy. Series A
publication date: 1996-07-07T00:00:00Z
review text: The author studies so-called cubic hyper-equisingular families of complex projective varieties to understand and describe the variation of mixed Hodge structure, which comes from a locally trivial family of projective varieties with ordinary singularities. In this first part, one finds definitions and cohomological descent. [For part II see ibid., 210-212 (1995; see the following review)].
reviewed by: Gerhard Pfister
Mathematics Subject Classification ID: 32S35
Mathematics Subject Classification ID: 32S15
Mathematics Subject Classification ID: 14D07
zbMATH DE Number: 897691
zbMATH Keywords: mixed Hodge structures
zbMATH Keywords: equisingular family
zbMATH Keywords: variation
zbMATH Keywords: variation of mixed Hodge structure
zbMATH Keywords: infinitesimal period map
author: Shōji Tsuboi
MaRDI profile type: Publication
full work available at URL: pjaa.71.207
OpenAlex ID: W1999893614
cites work: Hyperrésolutions cubiques et descente cohomologique. (La plupart des exposés d'un séminaire sur la théorie de Hodge-Deligne, Barcelona (Spain), 1982)
cites work: On the De Rham cohomology of algebraic varieties
cites work: Q3748554
cites work: Q4202879
DOI: 10.3792/PJAA.71.207
description: scientific article; zbMATH DE number 897691