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Precio: $848.46
Editorial:
Año: 2009
Tema:
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