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math.AC2017
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…
math.AC2017★ 9 cited
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…