On divisors computing MLD's and LCT's
Algebraic Geometry
2017-06-08 v3
Abstract
We show that if a divisor centered over a point on a smooth surface computes a minimal log discrepancy, then the divisor also computes a log canonical threshold. To prove the result, we study the asymptotic log canonical threshold of the graded sequence of ideals associated to a divisor over a variety. We systematically study this invariant and also prove a result describing which divisors compute asymptotic log canonical thresholds.
Keywords
Cite
@article{arxiv.1605.09662,
title = {On divisors computing MLD's and LCT's},
author = {Harold Blum},
journal= {arXiv preprint arXiv:1605.09662},
year = {2017}
}
Comments
Minor corrections and changes. Comments welcome