5 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.
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…
Generalized Jouanolou duality, weakly Gorenstein rings, and applications to blowup algebras
Yairon Cid-Ruiz, Claudia Polini, Bernd Ulrich
We provide a generalization of Jouanolou duality that is applicable to a plethora of situations. The environment where this generalized duality takes place is a new class of rings,…