Noncommutative Smooth Models
环与代数
2007-05-23 v2
摘要
We determine the central simple algebras D over a functionfield K of trancendence degree two which admit a model of smooth Cayley-Hamilton algebras. This happens if and only if there is a smooth model S of K such that the ramification divisor of a maximal S-order in D is a disjoint union of smooth curves. Further, we prove that the Brauer-Severi fibration of smooth models which are in addition maximal orders is a flat morphism and determine the number of irreducible components of the fibers.
引用
@article{arxiv.math/0209067,
title = {Noncommutative Smooth Models},
author = {Lieven Le Bruyn},
journal= {arXiv preprint arXiv:math/0209067},
year = {2007}
}
备注
(v2 : cleaned up the pictures)