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arXiv · 1602.03451

Torus equivariant K-stability

Giulio Codogni·Jacopo Stoppa
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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.

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Giulio Codogni, Jacopo Stoppa. 2016-02-10. Torus equivariant K-stability. https://doi.org/10.1007/978-3-030-13158-6_2

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