K-semistability of optimal degenerations

Dervan, R. (2020) K-semistability of optimal degenerations. Quarterly Journal of Mathematics, 71(3), pp. 989-995. (doi: 10.1093/qmathj/haaa012)

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K-polystability of a polarized 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 destabilizing’ degeneration. In this note we show that if such a degeneration exists, then the limiting scheme is itself relatively K-semistable.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Dervan, Dr Ruadhaí
Authors: Dervan, R.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Quarterly Journal of Mathematics
Publisher:Oxford University Press
ISSN (Online):1464-3847
Published Online:15 July 2020
Copyright Holders:Copyright © The Author(s) 2020
First Published:First published in The Quarterly Journal of Mathematics 71(3):989–995
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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