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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.
Supplementary Materials