4 citations · 9 across the 11 of their papers we have counts for
11 papers
Grothendieck Duality and Transitivity II: Traces and Residues via Verdier's isomorphism
Suresh Nayak, Pramathanath Sastry
For a smooth map between noetherian schemes, Verdier relates the top relative differentials of the map with the twisted inverse image functor `upper shriek'. We show that the assoc…
Grothendieck Duality and Transitivity I: Formal Schemes
Suresh Nayak, Pramathanath Sastry
For a proper map of noetherian ordinary schemes, one has a well-known natural transformation, ,…
Free resolutions of some Schubert singularities
Manoj Kummini, V. Lakshmibai, Pramathanath Sastry +1
In this paper we construct free resolutions of certain class of closed subvarieties of affine spaces (the so-called "opposite big cells" of Grassmannians). Our class covers the det…
Geometric Reductivity--A Quotient Space Approach
Pramathanath Sastry, C. S. Seshadri
We give another proof that a reductive algebraic group is geometrically reductive. We show that a quotient of the semi-stable locus (by a linear action of a reductive algebraic gro…
Applications of duality theory to cousin complexes
Suresh Nayak, Pramathanath Sastry
We use the anti-equivalence between Cohen-Macaulay complexes and coherent sheaves on formal schemes to shed light on some older results and prove new results. We bring out the rela…
Duality for Cousin Complexes
Pramathanath Sastry
We relate the variance theory for Cousin complexes -^# developed by Lipman, Nayak and the author to Grothendieck duality for Cousin complexes. Specifically for a Cousin complex F o…