8 papers
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.
Morphisms from projective spaces to flags of minimal parabolic subgroups
Sarjick Bakshi, A J Parameswaran
We classify nonconstant morphisms for when (type~) for a minimal parabolic subgroup . Using the Borel presentation of…
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…
On the equivariant vector bundles on
Indranil Biswas, Manish Kumar, A. J. Parameswaran
Let be a subgroup of (respectively, ) such that the Zariski closure in (respectively, ${\rm SL}(2,\math…
Ulrich bundles on cyclic coverings of projective spaces
A. J. Parameswaran, Jagadish Pine
We prove the existence of Ulrich bundles on cyclic coverings of of arbitrary degree . Given a relatively Ulrich bundle on a complete intersection subvariety, we c…
The tame Nori fundamental group
Indranil Biswas, Manish Kumar, A. J. Parameswaran
We introduce three notion of tameness of the Nori fundamental group scheme for a normal quasiprojective variety over an algebraically closed field. It is proved that these thre…