Foundations of Grothendieck Duality for Diagrams of Schemes

By J. Lipman, M. Hashimoto. 2009

209 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mathematical Physics, Theoretical Computer Science

View Paper: https://www.semanticscholar.org/paper/ebddbde4f832a98c98ab73963ca26a704d717a54

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Fabio Nironi
2. S. Iyengar

In Mathematical Physics

1. L. Avramov
2. Fabio Nironi
3. J. Lipman
4. S. Iyengar
5. Henning Krause
6. Amnon Yekutieli
7. D. Benson
8. Xiao-Wu Chen

In Theoretical Computer Science

1. Fabio Nironi
2. J. Lipman
3. S. Iyengar
4. L. Avramov

Citations in the corpus

• Categorical resolution of singularities (2009, unknown): “The functor Rf∗ : Dqc(ModX)→ Dqc(ModY ) is way-out right by [Li] (see also [BoVdB], Thm.”
• Reduction of derived Hochschild functors over commutative algebras and schemes (2009, background): “In the rest of this section we review basic facts about Grothendieck duality, referring to [19] and [23] for details.”
• Grothendieck Duality for Deligne-Mumford Stacks (2008, methodology): “few words about the Godement resolution for stacks and the possibility to use it to compute duality. In the case of schemes it is possible to use the Godement resolution to compute duality in Dqc(X) ([LJ09] Chapter 4.1). The Godement resolution is functorial exact acyclic but it doesn’t commute with”