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

Rémi Reboulet

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arXiv · 2110.00251

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

Rémi Reboulet

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Abstract

We study sufficient conditions for the existence of flat subspaces in the space of continuous plurisubharmonic metrics on a polarised complex projective manifold, relying on the generalised Legendre transform to the Okounkov body defined by Witt Nystrom, and a result of Schwer--Lytchak.

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BibTeX RIS

Rémi Reboulet. 2021-10-01. Flats in the space of K\"ahler metrics and Okounkov bodies. https://arxiv.org/abs/2110.00251

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