Minimization of Arakelov K-energy for many cases
Abstract
We prove that for various polarized varieties over Q‾, which broadly includes K-trivial case, K-ample case, Fano case, minimal models, and certain classes of fibrations, certain metrized “minimal-like” models minimize the Arakelov theoretic analog of the Mabuchi K-energy, as conjectured by the second author. This is an Arakelov theoretic analog of a result by the first author.
Fields of Study & Subjects
Black Holes and Theoretical Physics
Geometry and complex manifolds
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Kyoto journal of mathematics
- Publisher
- Duke University Press
- Volume
- -1
- Issue
- -1
- Pages
- 1–25
- Publication date
- 1 January 2026
- Language
- EN