29 citations · 43 across the 12 of their papers we have counts for
14 papers
Harder-Narasimhan Filtrations which are not split by the Frobenius maps
Saurav Bhaumik, Vikram Mehta
Let be a smooth projective variety over a perfect field of characteristic , and be a vector bundle over . It is well known that if is a curve and is not…
On the Grothendieck-Lefschetz Theorem for a Family of Varieties
Marco Antei, Vikram Mehta
Let be an algebraically closed field of characteristic , the ring of Witt vectors over and the integral closure of in the algebraic closure o…
Rationality of the instability parabolic and related results
Sudarshan Gurjar, Vikram Mehta
In this paper we study the extension of structure group of principal bundles with a reductive algebraic group as structure group on smooth projective varieties defined over algebra…
Some Further Remarks on the Local Fundamental Group Scheme
Vikram Mehta
We prove that the Local Fundamental Group Scheme satisfies the Lefschetz - Bott theorems in characteristic p. The proofs are standard applications of the Enriques-Severi -Zariski-S…
Frobenius pull backs of principal -bundles and their canonical parabolics
V. B. Mehta, V. Trivedi
The paper is withdrawn.
Vector Bundles over Normal Varieties Trivialized by Finite Morphisms
Marco Antei, Vikram Mehta
Let be a normal and projective variety over an algebraically closed field and a vector bundle over . We prove that if there exist a -scheme and a finite surje…