51 citations · 124 across the 8 of their papers we have counts for
7 papers · 1 filter
Characteristic-free test ideals
Felipe Pérez, Rebecca R. G.
Tight closure test ideals have been central to the classification of singularities in rings of characteristic , and via reduction to characteristic , in equal characteristi…
The Frobenius exponent of Cartier subalgebras
Florian Enescu, Felipe Pérez
Let be a standard graded finitely generated algebra over an -finite field of prime characteristic, localized at its maximal homogeneous ideal. In this note, we prove that th…
Cohomological dimension, Lyubeznik numbers, and connectedness properties in mixed characteristic
Daniel J. Hernández, Luis Núñez-Betancourt, Felipe Pérez +1
We establish a "second vanishing theorem" for local cohomology modules over regular rings of unramified mixed characteristic, which relates the connectedness of the spectrum of a r…
On the existence of -thresholds and related limits
Alessandro De Stefani, Luis Núñez-Betancourt, Felipe Pérez
The -thresholds are important numerical invariants in prime characteristic, whose existence had been established only under certain assumptions. We show the existence of -thr…
Lyubeznik numbers and injective dimension in mixed characteristic
Daniel J. Hernández, Luis Núñez-Betancourt, Felipe Pérez +1
We investigate the Lyubeznik numbers, and the injective dimension of local cohomology modules, of finitely generated -algebras. We prove that the mixed characteristic L…
-jumping and -Jacobian ideals for hypersurfaces
Luis Núñez-Betancourt, Felipe Pérez
We introduce two families of ideals, -jumping ideals and -Jacobian ideals, in order to study the singularities of hypersurfaces in positive characteristic. Both families are…