A note on positivity of the CM line bundle

DOI10.1155/IMRN/2006/95875zbMath1114.14023arXivmath/0605302OpenAlexW2023314141MaRDI QIDQ3419725

Julius Ross, Joel Fine

Publication date: 7 February 2007

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605302

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Algebraic moduli problems, moduli of vector bundles (14D20) Kähler-Einstein manifolds (32Q20) Moduli, classification: analytic theory; relations with modular forms (14J15)

Related Items (16)

K-MODULI OF CURVES ON A QUADRIC SURFACE AND K3 SURFACES ⋮ A study of the Hilbert-Mumford criterion for the stability of projective varieties ⋮ Canonical Kähler metrics and arithmetics: generalizing Faltings heights ⋮ Positivity of the CM line bundle for families of \(K\)-stable klt Fano varieties ⋮ GIT Stability, K-Stability and the Moduli Space of Fano Varieties ⋮ Reductivity of the automorphism group of K-polystable Fano varieties ⋮ K-stability and birational models of moduli of quartic \(K3\) surfaces ⋮ On positivity of the CM line bundle on K-moduli spaces ⋮ Nonexistence of asymptotic GIT compactification ⋮ Moduli theory, stability of fibrations and optimal symplectic connections ⋮ On the proper moduli spaces of smoothable Kähler-Einstein Fano varieties ⋮ Stable maps in higher dimensions ⋮ Applications of the moduli continuity method to log K‐stable pairs ⋮ Degenerated Calabi-Yau varieties with infinite components, moduli compactifications, and limit toroidal structures ⋮ Minimising CM degree and slope stability of projective varieties ⋮ Invariants of varieties and singularities inspired by Kähler-Einstein problems

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