6 papers
A universal Torelli theorem for elliptic surfaces
C. S. Rajan, S. Subramanian
Given two semistable, non potentially isotrivial elliptic surfaces over a curve defined over a field of characteristic zero or finitely generated over its prime field, we show…
The non-properness of the functor of F-trivial bundles
Vikram B. Mehta, S. Subramanian
We study the properness of the functor of -trivial bundles by relating it to the base change question for the fundamental group scheme of Nori.
Torsors on Affine Varieties
S. Subramanian
Let be a smooth affine algebraic variety over the field of complex numbers which is contractible. Then every algebraic -torsor on is algebraically trivial if is a se…
Principal bundles over finite fields
Indranil Biswas, S. Subramanian
Let M be an irreducible smooth projective variety defined over \bar{{\mathbb F}_p}. Let π(M, x_0) be the fundamental group scheme of M with respect to a base point x_0. Let G be a…
Forms of Affine Space
S. Subramanian
Let be any field and its separable closure. Let be an affine variety over which is isomorphic to affine -space over the field extension . Then is isom…
Moduli of Principal Bundles in Positive Characteristic
Vikram B. Mehta, S. Subramanian
In this paper we construct the moduli of semistable principal bundles with structure group a semisimple group, over nonsingular curves in positive characteristic, with good bounds…