Presented By: Department of Mathematics
Student Commutative Algebra Seminar
Abhyankar valuations are quasi-monomial, I
This is the first of two talks devoted to a theorem of Ein-Lazarsfeld-Smith, which states that Abhyankar valuations are quasi-monomial. The goal of this first lecture is to introduce these interesting classes of valuations along with their invariants, with a heavy emphasis on examples. Time permitting, we will discuss Zariski's proof that divisorial valuations are characterized via two such invariants; this is a special case of the theorem of Ein-Lazarsfeld-Smith, whose proof will be discussed in the second lecture. Speaker(s): Matt Stevenson (University of Michigan)
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