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   -

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.

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