Algebraic Geometry Seminar
Shihoko Ishii
Tokyo Institute of Technology
Mather discrepancy and arc spaces
Abstract: The aim of this talk is to show that Mather discrepancy is a reasonable
invariant.
By using Mather discrepancy,
we can define a new log-canonical threshold and minimal log discrepancy for an
arbitrary
singularity.
We will show the formula for the log-canonical threshold and minimal log discrepancy
in terms of
arc space, and inversion of adjunction in rather general settings.
Thursday October 21, 2010 at 4:00 PM in SEO 636