The equivalence of Friedlander-Mazur and standard conjectures for threefolds

We show that the Friedlander-Mazur conjecture holds for a complex smooth projective variety X of dimension three implies the standard conjectures hold for X. This together with a result of Friedlander yields the equivalence of the two conjectures in dimension three. From this we provide some new exa...

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Bibliographic Details
Published inarXiv.org
Main Authors Cao, Jin, Hu, Wenchuan
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 04.11.2021
Subjects
Equivalence
Mathematics - Algebraic Geometry
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Summary:We show that the Friedlander-Mazur conjecture holds for a complex smooth projective variety X of dimension three implies the standard conjectures hold for X. This together with a result of Friedlander yields the equivalence of the two conjectures in dimension three. From this we provide some new examples whose standard conjectures hold.
ISSN:2331-8422
DOI:10.48550/arxiv.2111.02669