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5 papers · 2 filters
Andre-Quillen homology of algebra retracts
L. L. Avramov, S. Iyengar
Given a homomorphism of commutative noetherian rings , Daniel Quillen conjectured in 1970 that if the Andre-Quillen homology functors vanish for all $n \gg…
An example of an infinite set of associated primes of a local cohomology module
Mordechai Katzman
Let be a local Noetherian ring, let be any ideal and let be a finitely generated -module. In 1990 Craig Huneke conjectured that the local cohomology mod…
Associated primes of graded components of local cohomology modules
Markus P. Brodmann, Mordechai Katzman, Rodney Y. Sharp
The -th local cohomology module of a finitely generated graded module over a standard positively graded commutative Noetherian ring , with respect to the irrelevant ideal…
Some properties of top graded local cohomology modules
Mordechai Katzman, Rodney Y. Sharp
This first part of the paper describes the support of top graded local cohomology modules. As a corrolary one obtains a simple criteria for the vanishing of these modules and also…
Tight closure and plus closure for cones over elliptic curves
Holger Brenner
We characterize the tight closure of graded primary ideals in a homogeneous coordinate ring over an elliptic curve by numerical conditions and we show that it is in positive charac…