The Explicit Construction of Orders on Surfaces

Details The Explicit Construction of Orders on Surfaces The Explicit Construction of Orders on Surfaces

2011-06-30

arxiv.org/abs/1106.6279v1

Mathematics

Algebraic Geometry

94 pages, 8 figures, Ph.D. thesis, University of New South Wales (supervisor: Dr Daniel Chan)

Scientific paper

We implement a noncommutative analogue of the well-known commutative cyclic covering trick and implement it to explicitly construct a vast collection of numerically Calabi-Yau orders, noncommutative analogues of surfaces of Kodaira dimension 0. We construct maximal orders, noncommutative analogues of normal schemes, on rational surfaces and ruled surfaces. We also use Ogg-Shafarevich theory to construct Azumaya algebras and, more generally, maximal orders on elliptically fibred surfaces.

Affiliated with

Also associated with

No associations

Rating

The Explicit Construction of Orders on Surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Explicit Construction of Orders on Surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Explicit Construction of Orders on Surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-35496