Conference abstracts
Session S02 - Commutative Algebra and Algebraic Geometry
July 26, 15:00 ~ 15:30
Graded rings associated to valuations
Steven Dale Cutkosky
University of Missouri, USA - cutkoskys@missouri.edu
Suppose that K is a field with a valuation v and R is a local ring of K which is dominated by v. We discuss various graded rings associated to the valuation on R which provide fundamental information about birational properties of the ring. We consider especially differences between characteristic zero and positive characteristic and the question of finite generation and relative finite generation in a finite extension.