Del Pezzo surfaces with many symmetries
Ivan Cheltsov, Andrew Wilson
TL;DR
This paper classifies smooth del Pezzo surfaces with a high degree of symmetry, specifically those with Tian's alpha-invariant exceeding one, contributing to the understanding of their geometric properties.
Contribution
It provides a classification of del Pezzo surfaces based on their symmetry and alpha-invariant, highlighting new cases with significant symmetry.
Findings
Identified all del Pezzo surfaces with alpha-invariant > 1
Established criteria linking symmetry and alpha-invariant
Enhanced understanding of surface classification based on invariants
Abstract
We classify smooth del Pezzo surfaces whose alpha-invariant of Tian is bigger than one.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory