On the curvature of conic Kaehler-Einstein metrics
Differential Geometry
2019-09-12 v1
Abstract
We prove a regularity result for Monge-Amp\`ere equations degenerate along smooth divisor on Kaehler manifolds in Donaldson's spaces of -weighted functions. We apply this result to study the curvature of Kaehler metrics with conical singularities along divisors and give a geometric sufficient condition on the divisor for its boundedness.
Keywords
Cite
@article{arxiv.1608.06890,
title = {On the curvature of conic Kaehler-Einstein metrics},
author = {Claudio Arezzo and Alberto Della Vedova and Gabriele La Nave},
journal= {arXiv preprint arXiv:1608.06890},
year = {2019}
}