Quasi-projectivity of the moduli space of smooth Kahler-Einstein Fano manifolds

zbMath1421.32033arXiv1502.06532MaRDI QIDQ4584314

Chi Li, Xiaowei Wang, Chen Yang Xu

Publication date: 30 August 2018

Full work available at URL: https://arxiv.org/abs/1502.06532

zbMATH Keywords

Fano varietyKähler-Einstein metricmoduli spaceWeil-Petersson currentquasi-projectivity

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13) Kähler-Einstein manifolds (32Q20) Stacks and moduli problems (14D23)

Related Items (16)

Kähler-Einstein metrics and volume minimization ⋮ On the continuity of Weil-Petersson volumes of the moduli space weighted points on the projective line ⋮ 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 ⋮ GIT Stability, K-Stability and the Moduli Space of Fano Varieties ⋮ Restricted volumes on Kähler manifolds ⋮ Effective semi-ampleness of Hodge line bundles on curves ⋮ Ricci curvature in Kähler geometry ⋮ On positivity of the CM line bundle on K-moduli spaces ⋮ Kähler-Einstein metrics ⋮ K-stability of Fano varieties: an algebro-geometric approach ⋮ On the proper moduli spaces of smoothable Kähler-Einstein Fano varieties ⋮ Uniqueness of \(\mathrm{K}\)-polystable degenerations of Fano varieties ⋮ Uniformly strong convergence of Kähler-Ricci flows on a Fano manifold ⋮ The moduli space of Fano manifolds with Kähler-Ricci solitons ⋮ Kähler-Ricci flow for deformed complex structures

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