On the kernel of the push-forward homomorphism between Chow groups

2015/04/29 by Kalyan Banerjee, Banerjee, Kalyan, Jaya Nn Iyer +1
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1504.07887

openalex publication_date 2015/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we prove that the kernel of the push-forward homomorphism on d-cycles modulo rational equivalence, induced by the closed embedding of an ample divisor linearly equivalent to some multiple of the theta divisor inside the Jacobian variety J(C) is trivial. Here C is a smooth projective curve of genus g.

Related

• Theta divisors of abelian varieties and push-forward homomorphism at the\n level of Chow groups
• Push-forwards of Chow groups of smooth ample divisors
• Zero cycles on Prym varieties
• Note on curves in a Jacobian
• The variation of the Gysin kernel in a family