Extremal metrics on the total space of destabilising test configurations

Lars Martin Sektnan; Cristiano Spotti

doi:10.1007/s00208-023-02601-1

Extremal metrics on the total space of destabilising test configurations

^*Corresponding author af dette arbejde

Institut for Matematik

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

Abstract

We construct extremal metrics on the total space of certain destabilising test configurations for strictly semistable Kähler manifolds. This produces infinitely many new examples of manifolds admitting extremal Kähler metrics. It also shows for such metrics a new phenomenon of jumping of the complex structure along fibres.

Originalsprog	Engelsk
Tidsskrift	Mathematische Annalen
Vol/bind	388
Nummer	4
Sider (fra-til)	3427-3461
Antal sider	35
ISSN	0025-5831
DOI	https://doi.org/10.1007/s00208-023-02601-1
Status	Udgivet - apr. 2024

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10.1007/s00208-023-02601-1Licens: CC BY

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Extremal metrics on the total space of destabilising test configurations

Abstract

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