Noncommutative Curves of Genus Zero

Noncommutative Curves of Genus Zero
Author :
Publisher : American Mathematical Soc.
Total Pages : 146
Release :
ISBN-10 : 9780821844007
ISBN-13 : 0821844008
Rating : 4/5 (008 Downloads)

Book Synopsis Noncommutative Curves of Genus Zero by : Dirk Kussin

Download or read book Noncommutative Curves of Genus Zero written by Dirk Kussin and published by American Mathematical Soc.. This book was released on 2009-08-07 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these notes the author investigates noncommutative smooth projective curves of genus zero, also called exceptional curves. As a main result he shows that each such curve $\mathbb{X}$ admits, up to some weighting, a projective coordinate algebra which is a not necessarily commutative graded factorial domain $R$ in the sense of Chatters and Jordan. Moreover, there is a natural bijection between the points of $\mathbb{X}$ and the homogeneous prime ideals of height one in $R$, and these prime ideals are principal in a strong sense.


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