Small angle limits of negatively curved Kahler-Einstein metrics with crossing edge singularities
Differential Geometry
2021-01-22 v1
Abstract
Let be a log smooth log canonical pair such that is ample. Extending a theorem of Guenancia and building on his techniques, we show that negatively curved K\"{a}hler-Einstein crossing edge metrics converge to K\"{a}hler-Einstein mixed cusp and edge metrics smoothly away from the divisor when some of the cone angles converge to . We further show that near the divisor such normalized K\"{a}hler-Einstein crossing edge metrics converge to a mixed cylinder and edge metric in the pointed Gromov-Hausdorff sense when some of the cone angles converge to at (possibly) different speeds.
Keywords
Cite
@article{arxiv.2101.08404,
title = {Small angle limits of negatively curved Kahler-Einstein metrics with crossing edge singularities},
author = {Yuxiang Ji},
journal= {arXiv preprint arXiv:2101.08404},
year = {2021}
}