7 papers · 1 filter
Restrictions on the Betti tables of licci ideals
Craig Huneke, Claudia Polini, Bernd Ulrich
We introduce several conjectures which mainly deal with restrictions on the Betti tables of licci ideals. We focus on a series of questions that compare the number of generators of…
Behrend function and blowup algebras
Claudia Polini, Alessio Sammartano, Bernd Ulrich
Given a scheme of finite type over the complex numbers, the Behrend function is a constructible function introduced by Behrend in ord…
On the number of generators of licci ideals
Craig Huneke, Claudia Polini, Bernd Ulrich
We prove a conjecture on the minimal number of generators of licci zero-dimensional ideals that are either monomial or have small Loewy colength.
Normality of Ideals and Modules
Naoki Endo, Shiro Goto, Jooyoun Hong +1
We investigate when the Rees algebra of an integrally closed -primary ideal in a regular local ring is a Cohen-Macaulay normal domain. While this property always hold…
Syzygies of the residue field over Golod rings
Doan Trung Cuong, Hailong Dao, David Eisenbud +3
Let be a Golod ring. We show a recurrent formula for high syzygies of interms of previous ones. In the case of embedding dimension at most , we provided complete d…
Multidegrees, families, and integral dependence
Yairon Cid-Ruiz, Claudia Polini, Bernd Ulrich
We study the behavior of multidegrees in families and the existence of numerical criteria to detect integral dependence. We show that mixed multiplicities of modules are upper semi…