• V B Mehta

Articles written in Proceedings – Mathematical Sciences

• Principal bundles on the projective line

We classify principalG-bundles on the projective line over an arbitrary fieldk of characteristic ≠ 2 or 3, whereG is a reductive group. If such a bundle is trivial at ak-rational point, then the structure group can be reduced to a maximal torus.

• Some Remarks on the Local Fundamental Group Scheme

We define the local fundamental group scheme and study its properties under base change of the base field.

• On some Frobenius Restriction Theorems for Semistable Sheaves

We prove a version of an effective Frobenius restriction theorem for semistable bundles in characteristic 𝑝. The main novelty is in restricting the bundle to the 𝑝-fold thickening of a hypersurface section. The base variety is $G/P$, an abelian variety or a smooth projective toric variety.

• # Proceedings – Mathematical Sciences

Volume 133, 2023
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019