3 citations · 10 across the 25 of their papers we have counts for
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A remark on algebraic cycles on cubic fourfolds
Kalyan Banerjee
In this short note we try to generalize the Clemens-Griffiths criterion of non-rationality for smooth cubic threefolds to the case of smooth cubic fourfolds.
Selmer group associated to the Chow group of certain codimension two cycles
Kalyan Banerjee, Kalyan Chakraborty
Let be a surface with geometric genus and irregularity zero which is defined over a number field . Let denote a smooth spread of over the spectrum of a Zar…
Algebraic cycles on hyperplane sections of hypersurfaces in for
Kalyan Banerjee
Let be a cubic hypersurface in or a hypersurface of degree greater than equal to in . In this note we try to understand, for a very general hyper…
Geometry of quintics in and the Craighero-Gattazzo surface of general type
Kalyan Banerjee
In this paper we study the question whether the tri-canonical system on the Craighero-Gattazzo surface is base point free and at which points does it separate tangent vectors. Also…
Involutions on algebraic surfaces and the Generalised Bloch's conjecture
Kalyan Banerjee
In this note we are going to consider a smooth projective surface equipped with an involution and study the action of the involution at the level of Chow group of zero cycles.
On a question of Colliot-Thélène on Chow group mod
Kalyan Banerjee, Kalyan Chakraborty
In this note we define the notion of Tate-Shafarevich group and Selmer group of the Chow group of an abelian variety defined over a number field. In this context we give positive a…
Picard groups, pull back and class groups
Kalyan Banerjee, Azizul Hoque
Let be a certain affine algebraic surface over such that it admits a regular map to . We show that any non-trivial torsion line bundle in…