3 citations · 10 across the 25 of their papers we have counts for
25 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 ,…
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…
The variation of the Gysin kernel in a family
Kalyan Banerjee
Consider a smooth projective surface . Consider a fibration where is a quasi-projective curve such the fibers are smooth projective curves. The aim of this text is…
A note on Lefschetz fibrations on algebraic surfaces
Kalyan Banerjee
Let be a smooth projective complex algebraic surface and a finite map. Consider a pencil of hyperplane sections on ${\m…
An exposition on finite dimensionality of Chow groups
Kalyan Banerjee
In this exposition we understand when the natural map from the Chow variety parametrizing codimension cycles on a smooth projective variety to the Chow group $\CH^p(X)$ is…
Push-forwards of Chow groups of smooth ample divisors
Kalyan Banerjee, Jaya NN Iyer, James D. Lewis
We introduce a homological Lefschetz conjecture on (rational) Chow groups, which can be deduced from some well known conjectures, and illustrate it by a series of key examples. We…
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…
Bloch's conjecture on surfaces of general type with an involution
Kalyan Banerjee
In this short note we prove that the Bloch's conjecture holds for a surface of general type of numerical Godeaux type or some class of numerical Campedelli type, with geometric gen…
Chow groups of conic bundles in and the Generalised Bloch's conjecture
Kalyan Banerjee
Consider the Fano surface of a conic bundle embedded in . Let denote the natural involution acting on this surface. In this note we provide an obstruction to the i…
Bloch's conjecture on certain surfaces of general type with and with an involution: the Enriques case
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 relevant surfa…
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…
Involutions on algebraic surfaces and zero cycles
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 the closed embedding of the product of theta divisors into product of Jacobians and Chow groups
Kalyan Banerjee
In this article we generalize the injectivity of the push-forward homomorphism at the level of Chow groups, induced by the closed embedding of $\Sym^m C$ into $\Sym^n C$ for $m\leq…
Monodromy and algebraic cycles
Kalyan Banerjee
In this text we are going to discuss the relation between monodromy and algebraic cycles.
Algebraic cycles on the Fano variety of lines of a cubic fourfold
Kalyan Banerjee
In this text we prove that if a smooth cubic in $\PR^5$ has its Fano variety of lines birational to the Hilbert scheme of two points on a K3 surface, then there exists a smooth pro…
Blow ups and base changes of symmetric powers and Chow groups
Kalyan Banerjee
Let $\Sym^m X$ denote the -th symmetric power of a smooth projective curve . Let $\wt{\Sym^m X}$ be the blow up of $\Sym^m X$ along some non-singular subvariety. In this note…
Theta divisors of abelian varieties and push-forward homomorphism at the level of Chow groups
Kalyan Banerjee
In this text we prove that if an abelian variety admits of an embedding into the Jacobian of a smooth projective curve , and if we consider $\Th_A$ to be the divisor $\Th_C\…
On the kernel of the push-forward homomorphism between Chow groups
Kalyan Banerjee, Jaya NN Iyer
In this note we prove that the kernel of the push-forward homomorphism on -cycles modulo rational equivalence, induced by the closed embedding of an ample divisor linearly equiv…