
TL;DR
This paper investigates the global log canonical thresholds of cubic surfaces with canonical singularities and establishes the existence of Kahler-Einstein metrics on two such singular cubic surfaces.
Contribution
It provides new insights into the thresholds of singular cubic surfaces and proves the existence of Kahler-Einstein metrics on specific cases.
Findings
Determined global log canonical thresholds for certain singular cubic surfaces
Proved existence of Kahler-Einstein metrics on two singular cubic surfaces
Enhanced understanding of geometric properties of singular cubic surfaces
Abstract
We study global log canonical thresholds of cubic surfaces with canonical singularities, and we prove the existence of a Kahler-Einstein metric on two singular cubic surfaces.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory
