Division algebras that ramify only on a plane quartic curve
Algebraic Geometry
2008-01-03 v1 Rings and Algebras
Abstract
Let k be an algebraically closed field of characteristic 0. We prove that any division algebra over k(x,y) whose ramification locus lies on a quartic curve is cyclic.
Cite
@article{arxiv.math/0410524,
title = {Division algebras that ramify only on a plane quartic curve},
author = {Boris E. Kunyavskii and Louis H. Rowen and Sergey V. Tikhonov and Vyacheslav I. Yanchevskii},
journal= {arXiv preprint arXiv:math/0410524},
year = {2008}
}
Comments
9 pages