K-stability of log del Pezzo hypersurfaces with index 2
In-Kyun Kim, Nivedita Viswanathan, Joonyeong Won
TL;DR
This paper provides a complete classification of the K-stability property for a specific class of algebraic surfaces known as log del Pezzo hypersurfaces with index 2, advancing understanding in algebraic geometry.
Contribution
It offers the first comprehensive classification of K-stability for log del Pezzo hypersurfaces with index 2, filling a significant gap in the literature.
Findings
Complete classification of K-stability for the specified hypersurfaces
Identification of conditions determining stability
New insights into the geometry of log del Pezzo surfaces
Abstract
We completely classify K-stability of log del Pezzo hypersurfaces with index 2.
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Taxonomy
TopicsFunctional Equations Stability Results · Holomorphic and Operator Theory · Meromorphic and Entire Functions