Totally Irrational Valuation Domains As Unions Of Quadratic Transforms printable pdf download

Totally Irrational Valuation Domains As Unions Of Quadratic Transforms

1115-13-260

K Alan Loper* (

), Department of Mathematics, Ohio State University,

Columbus, OH 43210, and Nick Werner. Totally irrational valuation domains as unions of

quadratic transforms. Preliminary report.

Let D be a three-dimensional regular local ring with maximal ideal M generated by x,y, and z. Assign x,y, and z positive

real number values which are independent over the rational numbers. We examine when the corresponding valuation

domain can be realized as a union of a chain of quadratic transforms of D. (Received September 21, 2015)

Totally Irrational Valuation Domains As Unions Of Quadratic Transforms