Some aspects of the Hodge conjecture
type: Item
instance of: scholarly article
title: Some aspects of the Hodge conjecture
zbMATH Open document ID: 1159.14005
author: Claire Voisin
published in: Japanese Journal of Mathematics. 3rd Series
publication date: 2009-02-06T00:00:00Z
review text: The author provides a lucid account of the classical Hodge conjecture, with a fairly comprehensive discussion of its failure when one either tries to formulate a version for the general Kähler setting, or when one works with integral coefficients. The author shows rather convincingly, that the strongest evidence to date in support of the Hodge conjecture comes from the algebraic side of the subject. Indeed, the reviewer finds Section 3, on absolute Hodge classes and Hodge loci, fascinating reading. Finally, the author has sprinkled throughout this paper some of her excellent contributions to this subject.
Mathematics Subject Classification ID: 14C30
Mathematics Subject Classification ID: 32J25
zbMATH DE Number: 5503406
zbMATH Keywords: Hodge classes
zbMATH Keywords: Chern classes
zbMATH Keywords: Hodge loci
reviewed by: James D. Lewis
MaRDI profile type: Publication
full work available at URL: s11537-007-0639-x
OpenAlex ID: W2015968078
Wikidata QID: Q123226305
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DOI: 10.1007/S11537-007-0639-X
description: scientific article; zbMATH DE number 5503406