Work

On the effective YTD conjecture

Year: 2025

Type: article

Abstract: We formulate an effective variant of the Yau–Tian–Donaldson conjecture and then review effective results on K-stability of spherical varieties, that is, K-stability criteria which can be effectively computed given the combinatorial data associated with the variety. We focus on the standard notion of K-stability as defined by Donaldson for constant scalar curvature Kähler metrics.

Source: EMS Surveys in Mathematical Sciences

DOI: 10.4171/emss/110

Author: Thibaut Delcroix

Institutions: Centre National de la Recherche Scientifique, Université de Montpellier, Institut Montpelliérain Alexander Grothendieck, Université Montpellier 2

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Agence Nationale de la Recherche

Award: Real Monge-Ampère and Kähler geometry of homogeneous spaces