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Local delta invariants of weak del Pezzo surfaces with the anti-canonical degree $\geq 5$

Part of: Surfaces and higher-dimensional varieties

Published online by Cambridge University Press:  30 January 2025

Hiroto Akaike Open the ORCID record for Hiroto Akaike [Opens in a new window]
Hiroto Akaike*
Affiliation:
Department of Mathematics, Tohoku University, 6-3, Aramaki Aza-Aoba, Aobaku, Sendai, Miyagi, Japan
*
Email: [email protected]
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Abstract

The delta invariant interprets the criterion for the K-(poly)stability of log terminal Fano varieties. In this paper, we determine local delta invariants for all weak del Pezzo surfaces with the anti-canonical degree $\geq 5$.

Keywords

Weak del Pezzo surfaceK-stabilityLocal delta invariant

MSC classification

Primary: 14J50: Automorphisms of surfaces and higher-dimensional varieties
Secondary: 14J17: Singularities 14J26: Rational and ruled surfaces
Type
Research Article
Information
Glasgow Mathematical Journal , First View , pp. 1 - 38
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust

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