6 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…
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…
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…
Direct image of structure sheaf and parabolic stability
Indranil Biswas, Manish Kumar, A. J. Parameswaran
Let be a dominant generically smooth morphism between irreducible smooth projective curves over an algebraically closed field such that ${\rm Char}(k)> \t…