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.

Torus equivariant K-stability / Codogni, Giulio; Stoppa, Jacopo. - 31:(2019), pp. 15-35. [10.1007/978-3-030-13158-6_2]

Torus equivariant K-stability

Codogni, Giulio
;
Jacopo Stoppa
2019

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.
31
Moduli of K-stable varieties
15
35
https://arxiv.org/abs/1602.03451
Codogni, Giulio; Stoppa, Jacopo
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/87622
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