41 citations · 41 across the 2 of their papers we have counts for
5 papers · 1 filter
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…
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…