Alessandro De Stefani

activity

20182022

collaborators

6 papers

math.AC2022

Frobenius methods in combinatorics

Alessandro De Stefani, Jonathan Montaño, Luis Núñez-Betancourt

We survey results produced from the interaction between methods in prime characteristic and combinatorial commutative algebra. We showcase results for edge ideals, toric varieties,…

math.AC2021

Bounds on the number of generators of prime ideals

Giulio Caviglia, Alessandro De Stefani

Let $S$ be a polynomial ring over any field $k$ , and let $P \subseteq S$ be a non-degenerate homogeneous prime ideal of height $h$ . When $k$ is algebraically closed, a clas…

math.AC2020

Stability and deformation of F-singularities

Alessandro De Stefani, Ilya Smirnov

We study the problem of $m$ -adic stability of F-singularities, that is, whether the property that a quotient of a local ring $(R, m)$ by a non-zero divisor $x…

math.AC2019

On monomial Golod ideals

Hailong Dao, Alessandro De Stefani

We study ideal-theoretic conditions for a monomial ideal to be Golod. For ideals in a polynomial ring in three variables, our criteria give a complete characterization. Over such r…

math.AC2018

Decomposition of graded local cohomology tables

Alessandro De Stefani, Ilya Smirnov

Let $R$ be a polynomial ring over a field. We describe the extremal rays and the facets of the cone of local cohomology tables of finitely generated graded $R$ -modules of dimension…

math.AC2018

F-signature function of quotient singularities

Alessio Caminata, Alessandro De Stefani

We study the shape of the F-signature function of a $d$ -dimensional quotient singularity $k [[x_{1}, \dots, x_{d}]]^{G}$ , and we show that it is a quasi-polynomial. We prove that…