mpleness of the CM line bundle on the moduli space of canonically polarized varieties

DOI10.14231/AG-2017-002zbMath1391.14068arXiv1503.08668MaRDI QIDQ5275120

Zsolt Patakfalvi, Chen Yang Xu

Publication date: 10 July 2017

Published in: Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.08668

zbMATH Keywords

moduli spaceampleK-stabilitystable varietyCM line bundleKSBA stable

Mathematics Subject Classification ID

Families, moduli, classification: algebraic theory (14J10) Minimal model program (Mori theory, extremal rays) (14E30) Moduli, classification: analytic theory; relations with modular forms (14J15) Negative curvature complex manifolds (32Q05)

Related Items (8)

Projectivity of the moduli space of stable log-varieties and subadditivity of log-Kodaira dimension ⋮ Positivity of the CM line bundle for K-stable log Fanos ⋮ Positivity of the CM line bundle for families of \(K\)-stable klt Fano varieties ⋮ Slope inequalities for KSB‐stable and K‐stable families ⋮ Semipositivity theorems for moduli problems ⋮ On positivity of the CM line bundle on K-moduli spaces ⋮ K-stability of Fano varieties: an algebro-geometric approach ⋮ Stable maps in higher dimensions

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