Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9518044 | Advances in Mathematics | 2005 | 30 Pages |
Abstract
In this paper, we construct various examples of maximal orders on surfaces, including some del Pezzo orders, some ruled orders and some numerically Calabi-Yau orders. The method of construction is a noncommutative version of the cyclic covering trick. These noncommutative cyclic covers are very computable and we give a formula for their ramification data. This often allows us to determine if a maximal order, described via ramification data, can be constructed as a noncommutative cyclic cover. The construction also has applications to Brauer-Severi varieties and, in the quaternion case, we show how to obtain some Brauer-Severi varieties from G-Hilbert schemes of P1-bundles.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Daniel Chan,