Semi-toric and toroidal compactifications as log minimal models, and applications to weak K-moduli
Algebraic Geometry
2022-03-18 v1 Differential Geometry
Number Theory
Abstract
We give a characterization of toroidal (resp., semi-toric) compactifications due to Ash-Mumford-Rapoport-Tai (resp., Looijenga) as log minimal models and apply it to study weak K-moduli compactifications, giving a different proof to a theorem of Alexeev-Engel. We also discuss towards further generalization, in particular revisit Shah-Sterk compactification of moduli of polarized Enriques surfaces to show compatibility with log K-stability.
Keywords
Cite
@article{arxiv.2203.09120,
title = {Semi-toric and toroidal compactifications as log minimal models, and applications to weak K-moduli},
author = {Yuji Odaka},
journal= {arXiv preprint arXiv:2203.09120},
year = {2022}
}
Comments
17 pages