Curvatures of moduli space of curves and applications

DOI10.4310/AJM.2017.v21.n5.a3zbMath1388.53077arXiv1312.6932MaRDI QIDQ1693281

Xiaofeng Sun, Xiao Kui Yang, Ke Feng Liu, Shing Tung Yau

Publication date: 12 February 2018

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6932

zbMATH Keywords

curvaturemoduli spaceWeil-Petersson metricdual Nakano-negativesemi-Nakano-negative

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Algebraic moduli of abelian varieties, classification (14K10) Negative curvature complex manifolds (32Q05)

Related Items (7)

Infinitely many Shimura varieties in the Jacobian locus for $g \leq 4$ ⋮ Monodromy of Kodaira fibrations of genus 3 ⋮ Curvature of the base manifold of a Monge-Ampère fibration and its existence ⋮ Totally geodesic subvarieties in the moduli space of curves ⋮ On some differential-geometric aspects of the Torelli map ⋮ RC-positivity and rigidity of harmonic maps into Riemannian manifolds ⋮ Symmetric spaces uniformizing Shimura varieties in the Torelli locus

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