Geometry of compact complex manifolds with maximal torus action

DOI10.1134/S0081543814060108zbMath1306.32012arXiv1602.02556OpenAlexW2036782923MaRDI QIDQ2514589

Yu. M. Ustinovskii

Publication date: 3 February 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02556

zbMATH Keywords

torus actioncompact complex manifoldsmoment-angle manifolds

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Compact complex (n)-folds (32J18)

Related Items (3)

Torus invariant transverse Kähler foliations ⋮ Torus actions on rationally elliptic manifolds ⋮ Hirzebruch surfaces in a one-parameter family

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Completely integrable torus actions on complex manifolds with fixed points
• LVMB manifolds and simplicial spheres
• Real quadrics in \(\mathbb C^n\), complex manifolds and convex polytopes
• The number of faces of a simplicial convex polytope
• Toric varieties, lattice points and Dedekind sums
• A new geometric construction of compact complex manifolds in any dimension
• The signature of a toric variety.
• Introduction to Toric Varieties. (AM-131)
• Foliations Modeling Nonrational Simplicial Toric Varieties
• Hamiltoniens périodiques et images convexes de l'application moment
• THE GEOMETRY OF TORIC VARIETIES
• Holomorphic principal bundles over projective toric varieties
• Complex-analytic structures on moment-angle manifolds

This page was built for publication: Geometry of compact complex manifolds with maximal torus action