A boundedness conjecture for minimal log discrepancies on a fixed germ
Algebraic Geometry
2024-04-30 v3
Abstract
We consider the following conjecture: on a klt germ (X,x), for every finite set I there is a positive integer N with the property that for every R-ideal J on X with exponents in I, there is a divisor E over X that computes the minimal log discrepancy of (X,J) at x and such that its discrepancy k_E is bounded above by N. We show that this implies Shokurov's ACC conjecture for minimal log discrepancies on a fixed klt germ and give some partial results towards the conjecture.
Keywords
Cite
@article{arxiv.1502.00837,
title = {A boundedness conjecture for minimal log discrepancies on a fixed germ},
author = {Mircea Mustata and Yusuke Nakamura},
journal= {arXiv preprint arXiv:1502.00837},
year = {2024}
}
Comments
This version is substantially different from the first version of the paper