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On K-stability of finite covers

Published version
Peer-reviewed

Repository DOI


Type

Article

Change log

Authors

Dervan, Ruadhaí 

Abstract

We show that certain Galois covers of K-semistable Fano varieties are K-stable. We use this to give some new examples of Fano manifolds admitting Kähler-Einstein metrics, including hypersurfaces, double solids and threefolds.

Description

Keywords

4902 Mathematical Physics, 4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, 49 Mathematical Sciences

Journal Title

Journal of the London Mathematical Society

Conference Name

Journal ISSN

0024-6093
1469-2120

Volume Title

48

Publisher

Oxford University Press
Sponsorship
Engineering and Physical Sciences Research Council (EP/J002062/1)
Funded by a studentship associated to an EPSRC Career Acceleration Fellowship (EP/J00206 2/1) and a Fondation Wiener-Anspach scholarship.