22 citations · 60 across the 14 of their papers we have counts for
4 papers · 1 filter
Local cohomology and Lyubeznik numbers of -pure rings
Alessandro De Stefani, Eloísa Grifo, Luis Núñez-Betancourt
In this article, we study certain local cohomology modules over -pure rings. We give sufficient conditions for the vanishing of some Lyubeznik numbers, derive a formula for comp…
A Zariski-Nagata theorem for smooth -algebras
Alessandro De Stefani, Eloísa Grifo, Jack Jeffries
In a polynomial ring over a perfect field, the symbolic powers of a prime ideal can be described via differential operators: a classical result by Zariski and Nagata says that the…
Symbolic powers of ideals
Hailong Dao, Alessandro De Stefani, Eloísa Grifo +2
We survey classical and recent results on symbolic powers of ideals. We focus on properties and problems of symbolic powers over regular rings, on the comparison of symbolic and re…
Symbolic powers of ideals defining F-pure and strongly F-regular rings
Eloísa Grifo, Craig Huneke
Given a radical ideal in a regular ring , the Containment Problem of symbolic and ordinary powers of consists of determining when the containment …