Partial Okounkov bodies and Duistermaat–Heckman measures of non-Archimedean metrics
Artikel i vetenskaplig tidskrift, 2025

Let X be a smooth complex projective variety. We construct partial Okounkov bodies associated with Hermitian big line bundles (L, ϕ) on X. We show that partial Okounkov bodies are universal invariants of the singularities of ϕ. As an application, we construct Duistermaat–Heckman measures associated with finite-energy metrics on the Berkovich analytification of an ample line bundle.

Okounkov body

plurisubharmonic metric

convex body

plurisubharmonic function

pseudoeffective line bundle

Författare

Mingchen Xia

Chalmers, Matematiska vetenskaper, Algebra och geometri

University of Science and Technology of China

Göteborgs universitet

Geometry and Topology

1465-3060 (ISSN) 13640380 (eISSN)

Vol. 29 3 1283-1344

Ämneskategorier (SSIF 2025)

Geometri

Algebra och logik

DOI

10.2140/gt.2025.29.1283

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Senast uppdaterat

2025-06-26