13 citations · 29 across the 8 of their papers we have counts for
8 papers
On complete reducibility in characteristic
V. Balaji, P. Deligne, A. J. Parameswaran
Let be a reductive group over a field which is algebraically closed of characteristic . We prove a structure theorem for a class of subgroup schemes of , for $…
Restrictions of stable bundles
V. Balaji, János Kollár
The Mehta-Ramanathan theorem ensures that the restriction of a stable vector bundle to a sufficiently high degree complete intersection curve is again stable. We improve the bounds…
An analogue of the Narasimhan-Seshadri theorem and some applications
V. Balaji, A. J. Parameswaran
We prove an analogue in higher dimensions of the classical Narasimhan-Seshadri theorem for strongly stable vector bundles of degree 0 on a smooth projective variety with a fixe…
Cohomology of line bundles on Schubert varieties in the Kac-Moody setting
Senthamarai Kannan
In this paper we give top most and least indices of non vanishing cohomology modules of line bundles in the Kac Moody setting in terms of Weyl group combinatorics. We also prove a…
Parabolic bundles on algebraic surfaces I- the Donaldson--Uhlenbeck compactification
V. Balaji, A. Dey, R. Parthasarathi
The aim of this paper is to construct the parabolic version of the Donaldson--Uhlenbeck compactification for the moduli space of parabolic stable bundles on an algenraic surface wi…
Holonomy groups of stable vector bundles
V. Balaji, János Kollár
We define the notion of holonomy group for a stable vector bundle F on a variety in terms of the Narasimhan--Seshadri unitary representation of its restriction to curves. Next we r…