Finiteness properties of local cohomology modules for regular local rings of mixed characteristic: the unramified case

By Gennady Lyubeznik. 2000

87 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/7132ed6f552761a5b184e455c2f51f423d56d7a8

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In Algebra and Number Theory

1. Irena Swanson
2. Le Thanh Nhan
3. T. Marley
4. Anurag Singh
5. M. Dibaei
6. Siamak Yassemi

In Geometry and Topology

1. Irena Swanson
2. Le Thanh Nhan
3. T. Marley
4. Anurag Singh
5. M. Dibaei
6. Siamak Yassemi

Citations in the corpus

• ON GENERALIZED REGULAR SEQUENCES AND THE FINITENESS FOR ASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES (2005, background): “Huneke and Sharp ( 1993 ) and Lyubeznik ( 1993 2000 ) have shown that if R is a regular ring containing a field or R is unramified, regular of mixed characteristic, then Ass   <inline-graphic xmlns:xlink="http://www.”
• The associated primes of local cohomology modules over rings of small dimension (2001, background): “I (R) is finite since R is an unramified regular local ring ([HS],[L1], and [ L3 ]).”
• p-torsion elements in local cohomology modules (2004, background): “Recently Lyubeznik has also proved this result for unramified regular local rings of mixed characteristic, [ Ly4 ].”
• Associated primes of local cohomology modules and of Frobenius powers (2004, background): “a (R) has finitely many associated prime ideals if R is a regular local ring containing a field of characteristic zero, or an unramified regular local ring of mixed characteristic, see [Ly1, Corollary 3.6(c)] and [ Ly2 , Theorem 1] respectively.”