3 papers
math.AC2026
Finite projective dimension and a question of Jorgensen
Rafael Holanda, Cleto B. Miranda-Neto
This paper studies finite projective dimension of finitely generated modules over a Noetherian local ring, by means of spectral sequence methods related to generalized local cohomo…
math.AC2026
Epimorphisms of local cohomology modules, a general Peskine-Szpiro theorem, and an application to sheaf cohomology vanishing for thickenings
André Dosea, Majid Eghbali, Cleto B. Miranda-Neto
We study the surjectivity of certain maps involving local cohomology modules, which we can realize as a dual version of part of the investigation developed by Bhatt, Blickle, Lyube…
math.AC2025
Bounds on Dao numbers and applications to regular local rings
Antonino Ficarra, Cleto B. Miranda-Neto, Douglas S. Queiroz
The so-called Dao numbers are a sort of measure of the asymptotic behaviour of full properties of certain product ideals in a Noetherian local ring with infinite residue field…