7 papers
Zero cycles on Prym varieties
Kalyan Banerjee
In this text we prove that if an abelian variety admits an embedding into the Jacobian of a smooth projective curve , and if we consider to be the divisor ,…
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.
Mumford-Roitman argument on families
Kalyan Banerjee
The aim of this note is to show that the properties like motivic decomposability, Chow theoretic decomposition of the diagonal etc. happens for the special member of a family if it…
A note on Mumford-Roitman argument on Chow schemes
Kalyan Banerjee
In this note we are going to understand two questions. One is the fiber of the natural map from a projective algebraic group to , where denotes the -equivalence on…