Noncommutative curves of genus zero : related to finite dimensional algebras
著者
書誌事項
Noncommutative curves of genus zero : related to finite dimensional algebras
（Memoirs of the American Mathematical Society, no. 942）
American Mathematical Society, 2009
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注記
"Volume 201, number 942 (first of 5 numbers)."
Includes bibliographical references (p. 121-125) and index
内容説明・目次
内容説明
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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