Uniform bound of the number of weighted blow-ups to compute the minimal log discrepancy for smooth 3-folds

Shihoko Ishii (University of Tokyo)

19-Jan-2021, 09:00-10:00 (3 years ago)

Abstract: In the talk I will show that the minimal log discrepancy of every pair consisting of a smooth 3-fold and a "general" real ideal is computed by the divisor obtained by at most two weighted blow ups.

Our proof suggests the following conjecture:

Every pair consisting of a smooth N-fold and a ``general” real ideal is computed by a divisor obtained by at most N-1 weighted blow ups.

This is regarded as a weighted blow up version of Mustata-Nakamura’s conjecture.

algebraic geometry

Audience: researchers in the topic


ZAG (Zoom Algebraic Geometry) seminar

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