A note on Koll\'{a}r valuations
Algebraic Geometry
2024-06-04 v1 Commutative Algebra
Abstract
We prove the set of Koll\'{a}r valuations in the dual complex of a klt singularity with a fixed complement is path connected. We also classify the case when the dual complex is one dimensional.
Cite
@article{arxiv.2406.00228,
title = {A note on Koll\'{a}r valuations},
author = {Yuchen Liu and Chenyang Xu},
journal= {arXiv preprint arXiv:2406.00228},
year = {2024}
}
Comments
9 pages, comments welcome. To appear in SCIENCE CHINA Mathematics, special issue in memory of Professor Gang Xiao