Hodge and generalized Hodge conjectures, coniveau and algebraic cycles

This is a survey of the Hodge conjecture, with emphasis on its companion, the generalized Hodge conjecture, which involves the theory of Hodge structures, algebraic cycles and motives.

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Published
2025-08-12
DOI
https://doi.org/10.56994/jomp.001.001.002
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Hodge and generalized Hodge conjectures, coniveau and algebraic cycles

Claire Voisin
Algebraic Geometry and Number Theory
article

Hodge and generalized Hodge conjectures, coniveau and algebraic cycles

Claire Voisin
article en

Abstract

This is a survey of the Hodge conjecture, with emphasis on its companion, the generalized Hodge conjecture, which involves the theory of Hodge structures, algebraic cycles and motives.

Vol. 1(1)
Institut de Mathématiques de Jussieu-Paris Rive Gauche (FR)
Openalex Percentile: Top 73%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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Hodge and generalized Hodge conjectures, coniveau and algebraic cycles — Claire Voisin · (2025) | TGRS Research Map | TGRS