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
2019-01-01
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.File in questo prodotto:
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Torus equivariant K-stability.pdf
Open Access dal 28/06/2020
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