Existence of valuations with smallest normalized volume
Algebraic Geometry
2019-02-20 v3
Abstract
Li introduced the normalized volume of a valuation due to its relation to K-semistability. He conjectured that over a klt singularity there exists a valuation with smallest normalized volume. We prove this conjecture and provide an example to show that such a valuation need not be divisorial.
Cite
@article{arxiv.1606.08894,
title = {Existence of valuations with smallest normalized volume},
author = {Harold Blum},
journal= {arXiv preprint arXiv:1606.08894},
year = {2019}
}
Comments
26 pages, minor change made, comments welcome