The Minimal Resolution Conjecture for Projective Space of dimension 4.

The Minimal Resolution (MR) of an Ideal I of S general points in a Projective Space is the one predicted by Anna L.

MUINDI, DAMIAN

LAP Lambert Academic Publishing

Mathematik/Arithmetik, Algebra

Erschienen am 03.03.2011, 1. Auflage 2011

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Bibliografische Daten

ISBN/EAN: 9783843389372

Sprache: Englisch

Umfang: 64 S.

Format (T/L/B): 0.4 x 22 x 15 cm

Einband: kartoniertes Buch

Beschreibung

The Minimal Resolution Conjecture is known and has been verified for Projective Spaces of dimension 2 and 3. Also there many counter examples for example for 11 points in a Projective Space of dimension 6, 12 points in a Projective Spaces of dimension 7. However, for Projective Spaces of dimension 4, it is believed to be true but the complete proof has not been written up so far. F Lauze (see the ref)tackled part of the resolution in his thesis, I have tackled the other part here in this book - my PhD work. I hope to have the complete proof soon.

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Autorenportrait

I completed my PhD in Pure Mathematics last year i.e. September 2010. I studied at l''Universite de Nice-Sophia Antipolis working under Professor Charles Walter in Algebraic Geometry, specifically on the minimal resolution. Currently, I am working at the University of Nairobi in the School of Mathematics where I am a Lecturer.