8 citations · 22 across the 11 of their papers we have counts for
12 papers
Regularity is bounded on a quasi-excellent Noetherian scheme
Alessandro De Stefani, Jack Jeffries, Nawaj KC +1
A point of a scheme has an associated tangent cone, the spectrum of a standard graded algebra encoding the local singularity. Its homological complexity can be measured by its grad…
-injectivity does not imply -fullness in normal domains
Alessandro De Stefani, Thomas Polstra, Austyn Simpson
We construct examples of noetherian three-dimensional local geometrically normal domains of prime characteristic which are -injective but not -full. Along the way, we find ex…
F-singularities of polynomials with square-free support
Aldo Conca, Alessandro De Stefani, Luis Núñez-Betancourt +1
We show that the intersection of the irreducible components of a hypersurface defined by a polynomial with square-free support has F-rational singularities in characteristic .…
The defect of the F-pure threshold
Alessandro De Stefani, Luis Núñez-Betancourt, Ilya Smirnov
Introduced by Takagi and Watanabe, the F-pure threshold is an invariant defined in terms of the Frobenius homomorphism. While it finds applications in various settings, it is prima…
Tight closure of products and F-rational singularities
Alessandro De Stefani, Ilya Smirnov
We prove a characterization of F-rationality in terms of tight closure of products of parameter ideals. Our results are inspired by the theory of complete ideals for surfaces and,…
Linearly presented modules and bounds on the Castelnuovo-Mumford regularity of ideals
Giulio Caviglia, Alessandro De Stefani
We estimate the Castelnuovo-Mumford regularity of ideals in a polynomial ring over a field by studying the regularity of certain modules generated in degree zero and with linear re…