Compact K\'ahler manifolds with quasi-positive second Chern-Ricci curvature

Autor:	Yang, Xiaokui
Rok vydání:	2020
Předmět:	Mathematics - Differential Geometry Mathematics - Algebraic Geometry 14F17 32L20 53C55
Druh dokumentu:	Working Paper
Popis:	Let $X$ be a compact K\"ahler manifold. We prove that if $X$ admits a smooth Hermitian metric $\omega$ with quasi-positive second Chern-Ricci curvature $\mathrm{Ric}^{(2)}(\omega)$, then $X$ is projective and rationally connected. In particular, $X$ is simply connected.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2006.13884 Zobrazit plný text záznamu View this record from Arxiv