Noncommutative versions of some classical birational transformations
Algebraic Geometry
2015-01-27 v3
Abstract
In this paper we generalize some classical birational transformations to the non-commutative case. In particular we show that 3-dimensional quadratic Sklyanin algebras (non-commutative projective planes) and 3-dimensional cubic Sklyanin algebras (non-commutative quadrics) have the same function field. In the same vein we construct and analogue of the Cremona transform for non-commutative projective planes.
Keywords
Cite
@article{arxiv.1410.5207,
title = {Noncommutative versions of some classical birational transformations},
author = {Michel Van den Bergh and Dennis Presotto},
journal= {arXiv preprint arXiv:1410.5207},
year = {2015}
}
Comments
19 pages, accepted for publication in JNCG