collaborators

6 papers

math.AG2026

Representability of codimension three cycles

Kalyan Banerjee

In this paper, we develop the notion of representability of co-dimension three cycles on a fourfold in terms of zero cycles modulo rational equivalence on surfaces.

math.NT2026

Branched covers of and divisibility in class group

Kalyan Banerjee, Kalyan Chakraborty, Azizul Hoque

We start with -torsions in the Jacobian of an -gonal curve and produce -torsions in the class group of certain number field .

math.AG2026

Beilinson's conjecture on K3 surfaces with an involution

Kalyan Banerjee

In this note we prove that the Beilinson conjecture holds for certain examples of K3 surfaces over equipped with an involution, when the quotient of the surface…

math.AG2025

Strong BSD for abelian surfaces and the Bloch-Beilinson conjecture

Kalyan Banerjee

In this paper, we prove the Bloch-Beilinson conjecture for certain abelian surfaces over , provided that the BSD is known for these abelian surfaces.

math.AG2025

Bloch's conjecture on surfaces with

Kalyan Banerjee

In this paper, we prove that Bloch's conjecture holds for all smooth, complex, projective surfaces with and .

math.AG2025

Bloch's conjecture on surfaces of general type with and with an involution

Kalyan Banerjee

In this short note we prove that an involution on certain examples of surfaces of general type with , acts as identity on the Chow group of zero cycles of the relev…