An effective study of serre spectral systems

• Autores: Andrea Guidolin, Ana Romero Ibáñez
• Localización: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 1132-6360, Nº. 43, 2018 (Ejemplar dedicado a: Proceedings of the XVI EACA Zaragoza Encuentros de Algebra Computacional y Aplicaciones), págs. 103-106
• Idioma: inglés
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• Resumen

  • 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.