The equivalence of Friedlander-Mazur and standard conjectures for threefolds

2021/11/04 by Jin Cao, Cao, Jin, Wenchuan Hu +1
Computer Science · Mathematics · #14C25 #14F43 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14C25 #msc:14F43

paper · pdf · doi:10.48550/arxiv.2111.02669

arxiv created 2021/11/04 · openalex publication_date 2021/11/04 · arxiv updated 2021/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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