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Flats in the space of K\"ahler metrics and Okounkov bodies

R\'emi Reboulet
Oct 2021
摘要
We study sufficient conditions for the existence of flat subspaces in thespace of continuous plurisubharmonic metrics on a polarised complex projectivemanifold, relying on the generalised Legendre transform to the Okounkov bodydefined by Witt Nystrom, and a result of Schwer--Lytchak.
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