On semi-continuity problems for minimal log discrepancies

Abstract

We show the semi-continuity property of minimal log discrepancies for varieties which have a crepant resolution in the category of Deligne-Mumford stacks. Using this property, we also prove the ideal-adic semi-continuity problem for toric pairs.

20 pages, to appear in J. Reine Angew. Math

References in corpus (2)

• Which powers of holomorphic functions are integrable?
• On deformations of Q-factorial symplectic varieties

Cited by in corpus (3)

• A boundedness conjecture for minimal log discrepancies on a fixed germ
• Wilder McKay correspondences
• Inversion of adjunction for quotient singularities