A Griffiths' theorem for varieties with isolated singularities
type: Item
instance of: scholarly article
zbMATH Open document ID: 1256.14009
author: Vincenzo di Gennaro
author: Giambattista Marini
author: Davide Franco
publication date: 2012-09-07T00:00:00Z
full work available at URL: https://arxiv.org/abs/1007.0891
Mathematics Subject Classification ID: 14C25
zbMATH DE Number: 6078977
zbMATH Keywords: algebraic cycles
zbMATH Keywords: Abel-Jacobi maps
zbMATH Keywords: isolated singularities
MaRDI profile type: Publication
arXiv ID: 1007.0891
arXiv classification: math.AG
Recommended article: A Briançon-Skoda theorem for isolated singularities
Recommended article: On quotient-varieties with an isolated singularity
Recommended article: Q4307991
Recommended article: Auslander's theorem and \(n\)-isolated singularities
Recommended article: Cheeger-Goreski-MacPherson's conjecture for the varieties with isolated singularities
Recommended article: Vanishing Theorems for Singular Varieties
Recommended article: Ordinary isolated singularities of algebraic varieties
Recommended article: The Drinfeld-Grinberg-Kazhdan Theorem for formal schemes and singularity theory
Recommended article: On the Griffiths numbers for higher dimensional singularities
Recommended article: A Dolbeault-Hilbert complex for a variety with isolated singular points
title: A Griffiths' theorem for varieties with isolated singularities
published in: Bollettino dell'Unione Matematica Italiana. Series IX
review text: The main statement of this article is a generalization of a theorem of Griffiths which asserts that on certain smooth even dimensional projective varieties homological and algebraic equivalence do not coincide for higher codimension cycles. Here the varieties are allowed to have at most isolated singularities. The proof is obtained via the analysis of a particular pencil of hypersurfaces and comparison of Abel-Jacobi maps.
reviewed by: Benoît Claudon
description: scientific article; zbMATH DE number 6078977