Back to Commutative Algebra Seminar: Spring 2015
Commutative Algebra Seminar
Date: Friday, Apr 3, 2015
Time: 3:10PM - 4:00PM
Location: LCB 222
Dale Cutkosky
University of Missouri, Columbia
Title |
Stable forms of generically finite morphisms along a valuation in arbitrary characteristic |
Abstract |
We discuss some theorems showing that in characteristic zero, along a (not necessarily discrete) valuation, generically finite morphisms of nonsingular varieties and of their associated graded rings along the valuation have stably toric forms under blow ups. We also give counterexamples to these statements in positive characteristic, and discuss what is true in positive characteristic. We discuss how the pathological problems in positive characteristic follow from the existence of defect in the extension of valuations (which can only occur for non discrete valuations in positive characteristic). |
Commutative Algebra