 

T. J. Ford
Division Algebras that Ramify Only Along a Singular Plane Cubic Curve


Published: 
September 18, 1995 
Keywords: 
Brauer group, division algebra, central simple algebra, symbol algebra, cyclic algebra 
Subject: 
Primary 13A20; Secondary 12E15, 14F20, 11R52 


Abstract
Let K be the field of rational functions in 2
variables over an algebraically closed field k of characteristic 0. Let D
be a finite dimensional Kcentral division algebra whose ramification
divisor on the projective plane over k is a singular cubic curve. It is
shown that D is cyclic and that the exponent of D is equal to the
degree of D.


Author information
Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431
Ford@acc.fau.edu

