Work

Mutually asymptotic Fekete sequences

Year: 2025

Type: article

Abstract: A sequence of point configurations on a compact complex manifold is asymptotically Fekete if it is close to maximizing a sequence of Vandermonde determinants. These Vandermonde determinants are defined by tensor powers of a Hermitian ample line bundle and the point configurations in the sequence possess good sampling properties with respect to sections of the line bundle. In this paper, given a collection of Hermitian ample line bundles, we address the question of existence of a sequence of point configurations which is asymptotically Fekete with respect to each of the line bundles. We give a conjectural necessary and sufficient condition and prove this in the toric case.

Source: Mathematische Annalen

DOI: 10.1007/s00208-024-03088-0

Author: Jakob Hultgren

Institution: Umeå University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: United States - Israel Binational Science Foundation, Knut och Alice Wallenbergs Stiftelse