15 papers
The Hexablock: a domain associated with the -synthesis in
Indranil Biswas, Sourav Pal, Nitin Tomar
We introduce a domain named \textit{hexablock} in and show that its origin is a special case of -synthesis in , more precisely the -unit bal…
On the Harder-Narasimhan filtration of the direct image of the structure sheaf
Indranil Biswas, Manish Kumar, A. J. Parameswaran
We compute the Harder-Narasimhan filtration of vector bundles for certain finite morphisms and in some other cases.
Normal Functions, Even Theta Characteristics and the Theta Divisor
Indranil Biswas, Lorenzo Fassina, Gian Pietro Pirola
Let be a general point in the moduli space of curves with . Let be a connected compact subgroup of real dimension of the Jacobian, and let $…
On the triviality of direct image of coherent sheaves
Indranil Biswas, Jagadish Pine
Let be a finite morphism of projective varieties defined over an algebraically closed field of characteristic zero. We study the necessary and suf…
Virtual global generation in higher dimensions
Indranil Biswas, Manish Kumar, A. J. Parameswaran
The notion of virtual global generation (VGG) for a vector bundle has multiple possible generalization from the case of curves to higher dimensional normal projective varieties. We…
Connections and Higgs bundles on curves defined over a number field
Indranil Biswas, Sudarshan Gurjar
Let be an irreducible smooth projective curve defined over and a vector bundle on . We give a criterion for connections on the base ch…