Stampa

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:
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 a
graded 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 constant
part 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 Palazzo Campana   -   Sito web
Via:
Via Carlo Alberto 10
Cap:
10123
Città:
TORINO