Torus equivariant K-stability
Algebraic Geometry
2019-09-04 v2 Differential Geometry
Abstract
It is conjectured that to test the K-polystability of a polarised variety it is enough to consider test-configurations which are equivariant with respect to a torus in the automorphism group. We prove partial results towards this conjecture. We also show that it would give a new proof of the K-polystability of constant scalar curvature polarised manifolds.
Cite
@article{arxiv.1602.03451,
title = {Torus equivariant K-stability},
author = {Giulio Codogni and Jacopo Stoppa},
journal= {arXiv preprint arXiv:1602.03451},
year = {2019}
}
Comments
20 pages. v2: major revision, main result changed