K-semistability of optimal degenerations
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Peer-reviewed
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Authors
Dervan, Ruadhai
Abstract
K-polystability of a polarised variety is an algebro-geometric notion conjecturally equivalent to the existence of a constant scalar curvature Kähler metric. When a variety is K-unstable, it is expected to admit a “most destabilising” degeneration. In this note we show that if such a degeneration exists, then the limiting scheme is itself relatively K-semistable.
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Journal Title
Quarterly Journal of Mathematics
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Journal ISSN
0033-5606
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Publisher
Oxford University Press
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All rights reserved
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Agence nationale de la recherche