1 citations · 1 across the 5 of their papers we have counts for
5 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…
Non-existence of negative derivations on the higher Nash blowup local algebra
Wágner Badilla-Céspedes, Abel Castorena, Daniel Duarte +1
Let be a weighted homogeneous polynomial having an isolated singularity and be its higher Nash blowup local algebra. We show tha…
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…
Ideals with Larger Projective Dimension and Regularity
Jesse Beder, Jason McCullough, Luis Nunez-Betancourt +3
We define a family of homogeneous ideals with large projective dimension and regularity relative to the number of generators and their common degree. This family subsumes and impro…