Work

Hodge and generalized Hodge conjectures, coniveau and algebraic cycles

Year: 2025

Type: article

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.

DOI: 10.56994/jomp.001.001.002

Author: Claire Voisin

Institution: Institut de Mathématiques de Jussieu-Paris Rive Gauche

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Funder: H2020 European Research Council

Award: Modern Aspects of Geometry: Categories, Cycles and Cohomology of Hyperkähler Varieties

OpenAlex ID: W4413326944

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