Singularities of plane complex curves and limits of Kähler metrics with cone singularities. I: Tangent Cones

Abstract

We construct and classify, in the case of two complex dimensions, the possible tangent cones at points of limit spaces of non-collapsed sequences of Kähler-Einstein metrics with cone singularities.

Reference to Panov's Polyhedral Kahler Manifolds added

References in corpus (2)

• Moduli of cubic surfaces and their anticanonical divisors
• On the regularity problem of complex Monge-Ampere equations with conical singularities

Cited by in corpus (1)

• Applications of the moduli continuity method to log K-stable pairs