A new proof of the symmetrizer lemma and a stronger weak Torelli theorem for projective hypersurfaces
type: Item
instance of: scholarly article
title: A new proof of the symmetrizer lemma and a stronger weak Torelli theorem for projective hypersurfaces
zbMATH Open document ID: 0599.14005
published in: Journal of Differential Geometry
publication date: 1984-01-01T00:00:00Z
review text: In Donagi's proof of the generic Torelli theorem for projective hypersurfaces [\textit{R. Donagi}, Compos. Math. 50, 325-353 (1983; Zbl 0598.14007)], a key step was the so-called ''symmetrizer lemma'', which asserts the exactness of a certain sequence associated to a generic projective hypersurface. In this paper the authors give a short proof that the lemma holds for an arbitrary smooth projective hypersurface. From this follows a slightly finer version of the generic Torelli theorem.
Mathematics Subject Classification ID: 14C30
zbMATH DE Number: 3966273
zbMATH Keywords: symmetrizer lemma
zbMATH Keywords: generic Torelli theorem
author: Ron Donagi
author: Mark Green
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214439288
OpenAlex ID: W1520087855
Wikidata QID: Q115187486
DOI: 10.4310/JDG/1214439288
description: scientific article; zbMATH DE number 3966273