Noncommutative Curves of Genus Zero: Related to Finite Dimensional Algebras

Noncommutative Curves of Genus Zero: Related to Finite Dimensional Algebras

by Dirk Kussin
     
 

ISBN-10: 0821844008

ISBN-13: 9780821844007

Pub. Date: 08/07/2009

Publisher: American Mathematical Society

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

Overview

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.

Product Details

ISBN-13:
9780821844007
Publisher:
American Mathematical Society
Publication date:
08/07/2009
Series:
Memoirs of the American Mathematical Society Series, #201
Pages:
128

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >