Push-forwards of Chow groups of smooth ample divisors

2018/05/09 by Kalyan Banerjee, Banerjee, Kalyan, Jaya Nn Iyer +3
Mathematics · #14C15 #14C20 #14C35 #14F42 #15C25 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1805.03461

openalex publication_date 2018/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a homological Lefschetz conjecture on (rational) Chow groups, which can be deduced from some well known conjectures, and illustrate it by a series of key examples. We then prove the injectivity of the push-forward morphism on Chow groups, induced by the closed embedding of the Theta divisor in it's Jacobian J(C). Here C is a smooth irreducible complex projective curve.

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