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数理談話会

日時: 2021年4月30日(金)　15:30-16:30
会場:オンライン開催

講演者

石井志保子氏（東京大学）

講演題目

Uniform bound of the number of weighted blow ups to compute mld in dimension 3 (Talk in Japanese, Slide in English)

講演概要

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. The condition "general" is slightly weakened from the version presented in ZAG Seminar.