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Título: Noncommutative Curves Of Genus Zero: Related To Finite Dimensional Algebras | |
| Autor: Kussin Dirk | Precio: $848.46 | |
| Editorial: American Mathematical Society | Año: 2009 | |
| Tema: Matematicas Aplicadas, Algebra, Textos | Edición: 1ª | |
| Sinopsis | ISBN: 9780821844007 | |
| 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.
Table of Contents Introduction Background Part 1. The homogeneous case Graded factoriality Global and local structure of the sheaf category Tubular shifts and prime elements Commutativity and multiplicity freeness Automorphism groups Part 2. The weighted case Insertion of weights Exceptional objects Tubular exceptional curves Appendix A. Automorphism groups over the real numbers Appendix B. The tubular symbols Bibliography Index |
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