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.

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.

About the author

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.

Product details

• Authors: DAMIAN MUINDI
• Publisher: LAP Lambert Academic Publishing
• Languages: English, German
• Product format: Paperback / Softback
• Released: 03.03.2011
• EAN: 9783843389372
• ISBN: 978-3-8433-8937-2
• No. of pages: 64
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra