Forum of Mathematics, Sigma (Jan 2024)

On divisorial stability of finite covers

  • Ruadhaí Dervan,
  • Theodoros Stylianos Papazachariou

DOI
https://doi.org/10.1017/fms.2024.47
Journal volume & issue
Vol. 12

Abstract

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Divisorial stability of a polarised variety is a stronger – but conjecturally equivalent – variant of uniform K-stability introduced by Boucksom–Jonsson. Whereas uniform K-stability is defined in terms of test configurations, divisorial stability is defined in terms of convex combinations of divisorial valuations on the variety.

Keywords