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Noncommutative Curves of Genus Zero: Related to Finite Dimensional Algebras (Memoirs of the American Mathematical Society)

Dirk Kussin

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ISBN 10: 0821844008 / ISBN 13: 9780821844007
Published by American Mathematical Society, 2009
New Condition: New Hardcover
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Brand new. We distribute directly for the publisher. 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. Bookseller Inventory # 1005260280

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Bibliographic Details

Title: Noncommutative Curves of Genus Zero: Related...

Publisher: American Mathematical Society

Publication Date: 2009

Binding: Hardcover

Book Condition:New

About this title

Synopsis:

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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