Noncommutative Curves of Genus Zero
Author | : Dirk Kussin |
Publisher | : American Mathematical Soc. |
Total Pages | : 146 |
Release | : 2009-08-07 |
ISBN-10 | : 9780821844007 |
ISBN-13 | : 0821844008 |
Rating | : 4/5 (07 Downloads) |
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.