The Partial $C^{0}$-estimate along a general continuity path and applications
Differential Geometry
2019-09-12 v1
Abstract
We establish a new partial -estimate along a continuity path mixed with conic singularities along a simple normal crossing divisor and a positive twisted -form on Fano manifolds. As an application, this estimate enables us to show the reductivity of the automorphism group of the limit space, which leads to a proof of Yau-Tian-Donaldson Conjecture admitting some types of holomorphic vector fields.
Keywords
Cite
@article{arxiv.1909.05196,
title = {The Partial $C^{0}$-estimate along a general continuity path and applications},
author = {Ke Feng and Liangming Shen},
journal= {arXiv preprint arXiv:1909.05196},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1211.4669 by other authors