Finiteness in derived categories of local rings
By W. Dwyer, John Greenlees, S. Iyengar. 2004
71 citations recorded by the source corpus.
New homotopy invariant finiteness conditions on modules over commutative rings are introduced, and their properties are studied systematically. A number of finiteness results for classical homological invariants like flat dimension, injective dimension, and Gorenstein dimension, are established. It is proved that these specialize to give results concerning modules over complete intersection local rings. A noteworthy feature is the use of techniques based on thick subcategories of derived categories.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/c297dc5d7833acc6930841af010d84970f30ab0d
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In Algebra and Number Theory
In Geometry and Topology
- S. Iyengar
- L. Avramov
- R. Buchweitz
- C. Miller
- Henning Krause
- Ryo Takahashi
- D. Benson
- Steffen Oppermann
In Mathematical Physics
Citations in the corpus
- Homology of perfect complexes (2006, background): “Their introduction is motivated in part by work of Dwyer, Greenlees, and Iyengar [19].”
- Homology over local homomorphisms (2003, background): “Dwyer, Greenlees, and Iyengar [ 14 ] show that this property descends even under the weaker hypothesis curv’N• 1.”