ENGLISH

Noncommutative curves of genus zero: related to finite dimensional algebras

By Dirk Kussin

Book information

Publisher
Amer Mathematical Society
Year
2009
ISBN
0821844008, 978-0-8218-4400-7, 87-2009-516-3
Language
english
Format
PDF
Filesize
2 MB (2024736 bytes)
Series
Memoirs of the American Mathematical Society 0942
Pages
146\146
Library
kolxoz
Time added
2015-12-12 14:00:00

Description

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 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 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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