A remark on Kahler metrics with conical singularities along a simple normal crossing divisor

Abstract

Recently it was shown by H. Guenancia and M. Paun that a singular metric satisfying the conical Kahler-Einstein equation with a simple normal crossing divisor is equivalent to a conical metric along that divisor. In this note, we present an alternative proof of their theorem.

3 pages

References in corpus (3)

• The Kahler-Ricci flow through singularities
• Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 π
• Conic singularities metrics with prescribed Ricci curvature: the case of general cone angles along normal crossing divisors

Cited by in corpus (6)

• Riemannian geometry of Kahler-Einstein currents
• Schauder estimates for equations with cone metrics, I
• Schauder estimates for equations with cone metrics, II
• On convexity of the regular set of conical Kahler-Einstein metrics
• Small angle limits of negatively curved Kahler-Einstein metrics with crossing edge singularities
• Metric contraction of the cone divisor by the conical Kähler-Ricci flow