4 papers · 1 filter
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.
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…
Isomorphism of étale fundamental groups lifts to isomorphism of stratified fundamental group
Indranil Biswas, Manish Kumar, A. J. Parameswaran
It is shown that if a finite generically smooth morphism of smooth projective varieties induces an isomorphism of the étale fundamental groups, then…