Del Pezzo Zoo
Ivan Cheltsov, Constantin Shramov
TL;DR
This paper classifies certain special del Pezzo surfaces that are quasismooth and well-formed weighted hypersurfaces, focusing on those with a high alpha-invariant, contributing to the understanding of their geometric properties.
Contribution
It identifies all quasismooth, well-formed weighted hypersurface del Pezzo surfaces with Tian's alpha-invariant exceeding 2/3, expanding classification knowledge.
Findings
All such surfaces with alpha-invariant > 2/3 are classified.
Provides explicit examples of these del Pezzo surfaces.
Enhances understanding of stability conditions for these surfaces.
Abstract
We study del Pezzo surfaces that are quasismooth and well-formed weighted hypersurfaces. In particular, we find all such surfaces whose alpha-invariant of Tian is greater than 2/3.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Holomorphic and Operator Theory · Geometry and complex manifolds