Work

Some Numerical Results in Complex Differential Geometry

Year: 2009

Type: article

Abstract: The first part of this paper discusses general procedures for finding numerical approximations to distinguished Kahler metrics, such as Calabi-Yau metrics, on complex projective manifolds.These procedures are closely related to ideas from Geometric Invariant Theory, and to the asymptotics of high powers of positive line bundles.In the core of the paper these ideas are illustrated by detailed numerical results for a particular K3 surface.

Source: Pure and Applied Mathematics Quarterly

DOI: 10.4310/pamq.2009.v5.n2.a2

Author: S. K. Donaldson

Institution: Imperial College London

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Engineering and Physical Sciences Research Council

Award: G6891598377