8 citations · 11 across the 8 of their papers we have counts for
8 papers
Duality of Selmer groups of an abelian variety over a number field
Saikat Biswas
Let be an abelian variety defined over a number field and let be the dual abelian variety. For an odd prime , we consider two Selmer groups attached to …
Odd entanglement entropy in deformed CFTs and holography
Debarshi Basu, Saikat Biswas, Ankur Dey +2
We construct a replica technique to perturbatively compute the odd entanglement entropy (OEE) for bipartite mixed states in deformed CFTs. This framewo…
Capitulation, unit groups, and the cohomology of -idèle classes
Saikat Biswas
Let be a finite, cyclic extension of number fields with Galois group , and let be a finite set of primes of that includes all the infinite primes. In this paper, w…
Brauer groups of torsors under algebraic tori
Saikat Biswas
Let be an algebraic torus defined over a global field . For any -torsor under , we relate the Brauer group of to the adéle class group of as well as to the…
Cohomology of adéle class groups of algebraic tori
Saikat Biswas
Let be an algebraic torus defined over a global field and split over a finite cyclic extension. In this paper, we determine the Herbrand quotient of the adéle class group o…
Groups of components of Néron models of Jacobians and Brauer groups
Saikat Biswas
Let be a proper, smooth, and geometrically connected curve over a non-archimedean local field . In this paper, we relate the component group of the Néron model of the Jacobi…
Tamagawa Torsors of an Abelian Variety
Saikat Biswas
For an abelian variety over a number field , we define the set of Tamagawa torsors of at a prime of to be the set of principal homogeneous spaces of over the…
Constructing non-trivial elements of the Shafarevich-Tate group of an Abelian Variety over a Number Field
Amod Agashe, Saikat Biswas
The second part of the Birch and Swinnerton-Dyer (BSD) conjecture gives a conjectural formula for the order of the Shafarevich-Tate group of an elliptic curve in terms of other com…