Applications of the Affine Structures on the Teichmüller Spaces

DOI10.1007/978-4-431-56021-0_3zbMath1408.32015arXiv1402.5570OpenAlexW1899085389MaRDI QIDQ2819642

Yang Shen, Xiaojing Chen, Ke Feng Liu

Publication date: 29 September 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5570

zbMATH Keywords

moduli spacesaffine structuresglobal Torelli theoremperiod mapsHodge metric completion

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Related Items (1)

Smoothing toroidal crossing spaces

Cites Work

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• The Weil-Petersson geometry of the moduli space of SU(n\(\geq 3)\) (Calabi- Yau) manifolds. I
• Compact hyperkähler manifolds: Basic results
• Variation of Hodge structure: The singularities of the period mapping
• Complete maps and differentiable coverings
• Affine structures on complex manifolds
• Conjugate classes of Cartan subalgebras in real semisimple Lie algebras
• Locally homogeneous complex manifolds
• Correction to my paper ``Conjugate classes of Cartan subalgebras in real semisimple Lie algebras
• Some Finiteness Results for Calabi-Yau Threefolds
• A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPEK3

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