8 citations · 9 across the 2 of their papers we have counts for
4 papers
Local Picard Group of Pointed Monoids and Their Algebras
Davide Alberelli, Holger Brenner
The main goal of this paper is to give an explicit formula for the cohomology of the sheaf of units of the punctured spectrum of a Stanley-Reisner ring. In particular we compute th…
Local Picard Group of Binoids and Their Algebras
Davide Alberelli
We begin by introducing schemes of binoids, invertible -sets and cohomology of sheaves of abelian groups defined on schemes of binoids. We define the so-called punct…
Strongly stable ideals and Hilbert polynomials
Davide Alberelli, Paolo Lella
The \texttt{StronglyStableIdeals} package for \textit{Macaulay2} provides a method to compute all saturated strongly stable ideals in a given polynomial ring with a fixed Hilbert p…
The maximum likelihood degree of Fermat hypersurfaces
Daniele Agostini, Davide Alberelli, Francesco Grande +1
We study the critical points of the likelihood function over the Fermat hypersurface. This problem is related to one of the main problems in statistical optimization: maximum likel…