F-pure thresholds of quasi-homogeneous polynomials
Presenter
May 8, 2013
Keywords:
- characteristic p
- commutative algebra
- birational algebraic geometry
- multiplier ideals
- singularities of varieties
MSC:
- 13A35
- 13A15
- 13A18
- 13Axx
- 13-xx
- 14-xx
- 14Exx
- 14E05
Abstract
The F-pure threshold is an invariant in characteristic p>0 measuring how ``bad" a singularity is; it is analogous to the log canonical threshold in characteristic zero. We describe the general form of an F-pure threshold of a homogeneous polynomial with isolated singularity in a polynomial ring endowed with a possibly non-standard grading. This is joint work with Daniel Hernández, Luis Núñez-Betancourt, and Wenliang Zhang.