2 citations · 7 across the 7 of their papers we have counts for
7 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, ,…
Reduction of derived Hochschild functors over commutative algebras and schemes
Luchezar L. Avramov, Srikanth B. Iyengar, Joseph Lipman +1
We study functors underlying derived Hochschild cohomology, also called Shukla cohomology, of a commutative algebra S essentially of finite type and of finite flat dimension over a…
Compactification for essentially finite-type maps
Suresh Nayak
We show that any separated essentially finite-type map of noetherian schemes globally factors as where is an injective localization map and a separated finite-…
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…
Pasting pseudofunctors
Suresh Nayak
We give an abstract criterion for pasting pseudofunctors on two subcategories of a category into a pseudofunctor on the whole category. As an application we extend the variance the…