Kalyan Banerjee

collaborators

Showing math.AGShow all

5 papers · 1 filter

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.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 $Q$ , provided that the BSD is known for these abelian surfaces.

math.AG2025

Bloch's conjecture on surfaces with $p_{g} = q = 0, K^{2} = 9$

Kalyan Banerjee

In this paper, we prove that Bloch's conjecture holds for all smooth, complex, projective surfaces with $p_{g} = q = 0$ and $K^{2} = 9$ .

math.AG2025

Bloch's conjecture for fake projective planes with an automorphism of order 3

Kalyan Banerjee

In this short note, we prove that an involution on certain examples of surfaces of general type with $p_{g} = 0 = q, K^{2} = 3$ , acts as identity on the Chow group of zero cycles of the rele…

math.AG2025

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 $Q ˉ$ equipped with an involution, when the quotient of the surface…

Representability of codimension three cycles

Strong BSD for abelian surfaces and the Bloch-Beilinson conjecture

Bloch's conjecture on surfaces with pg​=q=0,K2=9

Bloch's conjecture for fake projective planes with an automorphism of order 3

Beilinson's conjecture on K3 surfaces with an involution

Bloch's conjecture on surfaces with $p_{g} = q = 0, K^{2} = 9$