An application of a C2-estimate for a complex Monge–Ampère equation-Reference-Cited by-同舟云学术

An application of a C2-estimate for a complex Monge–Ampère equation

Published:2021-04-10 Issue:12 Volume:32 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Li Chang¹,Ni Lei²,Zhu Xiaohua³

Affiliation:

1. Hua Loo-Keng Center for Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China

2. Department of Mathematics, University of California, San Diego, La Jolla, CA 92093, USA

3. School of Mathematical Science, Peking University, Beijing, P. R. China

Abstract

By studying a complex Monge–Ampère equation, we present an alternate proof to a recent result of Chu-Lee-Tam concerning the projectivity of a compact Kähler manifold [Formula: see text] with [Formula: see text] for some integer [Formula: see text] with [Formula: see text], and the ampleness of the canonical line bundle [Formula: see text].

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X21400073

Reference15 articles.

1. Nonlinear Analysis on Manifolds. Monge-Ampère Equations

2. Geometry of Manifolds

3. Relations entre les notions de positivités de P.A.Griffiths et de S.Nakano pour les fibrés vectoriels

4. Algebraic Geometry

5. Birational Geometry of Algebraic Varieties

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