41 citations · 41 across the 2 of their papers we have counts for
6 papers
Construction of Hilbert and Quot Schemes
Nitin Nitsure
This is an expository account of Grothendieck's construction of Hilbert and Quot Schemes, following his talk `Techniques de construction et theoremes d'existence en geometrie algeb…
Representability of Hom implies flatness
Nitin Nitsure
Let be a projective scheme over a noetherian base scheme , and let be a coherent sheaf on . For any coherent sheaf on , consider the set-valued contravariant f…
Representability of
Nitin Nitsure
Let be a noetherian scheme, and let be a coherent sheaf on it. We define a group-valued contravariant functor on -schemes by associating to any -scheme the…
Topology of Quadric Bundles
Yogish I. Holla, Nitin Nitsure
This paper begins with a description of cohomological invariants of non-degenerate quadric bundles, in terms of the cohomology rings of the classifying spaces of the general orthog…
Characteristic Classes for GO(2n,C)
Yogish I. Holla, Nitin Nitsure
The complex Lie group GO(2n,C) by definition consists of all complex matrices A of size 2n, such that A times transpose(A) is a non-zero scalar. In this paper we determine explicit…
Boundedness of semistable principal bundles on a curve, with classical semisimple structure groups
Nitin Nitsure
In characteristic zero, semistable principal bundles on a nonsingular projective curve with a semisimple structure group form a bounded family, as shown by Ramanathan in 1970's usi…