7 citations · 14 across the 15 of their papers we have counts for
5 papers · 1 filter
Subvarieties with q-ample normal bundle and q-ample subvarieties
Mihai Halic
The goal of this article is twofold. On one hand, we study the subvarieties of projective varieties which possess partially ample normal bundle; we prove that they are G2 in the am…
On the -ampleness of the tensor product of two line bundles
Mihai Halic, Roshan Tajarod
We prove that the tensor product of two line bundles, one being -ample and the other with sufficiently low-dimensional base locus, is still -ample.
About the cohomological dimension of certain stratified varieties
Mihai Halic, Roshan Tajarod
We determine an upper bound for the cohomological dimension of the complement of a closed subset in a projective variety which possesses an appropriate stratification. We apply the…
Splitting criteria for vector bundles on minuscule homogeneous varieties
Mihai Halic
I prove that a vector bundle on a minuscule homogeneous variety splits into a direct sum of line bundles if and only if its restriction to the union of two-dimensional Schubert sub…
Splitting criteria for vector bundles induced by restrictions to divisors
Mihai Halic
In this article we deduce criteria for the splitting and the triviality of vector bundles, by restricting them to partially ample divisors. This allows to study the problem of spli…