An effective study of serre spectral systems

  1. ANDREA GUIDOLIN
  2. ANA ROMERO
Zeitschrift:
Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

ISSN: 1132-6360

Datum der Publikation: 2018

Titel der Ausgabe: Proceedings of the XVI EACA Zaragoza Encuentros de Algebra Computacional y Aplicaciones

Nummer: 43

Seiten: 103-106

Art: Artikel

Andere Publikationen in: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

Zusammenfassung

In this paper we use the technique of effective homology to compute spectral systems, a generalization of classical spectral sequences which are defined for filtrations indexed over any partially ordered set (poset). In particular, we focus our study on the Serre spectral system associated with a tower of fibrations, showing some considerations on the different levels of this spectral system and computing some results by means of a new module for the Kenzo computer algebra system.