## Evento

Titolo:
On the Free Resolution Induced by a Pommaret Basis
Quando:
02.07.2014 15.00 h
Dove:
Palazzo Campana - TORINO
Aula:
Aula C
Relatore:
Mario Albert
Afferenza:
Institut fur Mathematik, Universitat Kassel
Locandina:

## Descrizione

Abstract:

We combine the theory of Pommaret bases with a (slight generalisation of a) recent construction by Skoldberg based on discrete Morse theory. This combination allows us the explicit determination of a (generally non-minimal) free resolution for agraded polynomial module with the computation of only one Pommaret basis. If only the Betti numbers are needed, one can considerably simplify the computations by determining only the constantpart of the dierential. For thespecial case of a quasi-stable monomial ideal, we show that the induced resolution is a mapping cone resolution.We present an implementation within the CoCoALib and test it with some common benchmark ideals.

## Sede

Sede:
Palazzo Campana   -   Sito web
Via:
Via Carlo Alberto 10
Cap:
10123
Città:
TORINO