A new family of complex, compact, non-symplectic manifolds
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Publication:4366300
DOI10.1007/BF01233394zbMath0901.53021OpenAlexW2013872671MaRDI QIDQ4366300
Alberto Verjovsky, Santiago López de Medrano
Publication date: 10 September 1998
Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01233394
General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Other complex differential geometry (53C56) Complex manifolds (32Q99)
Related Items (33)
REMARKS ON A THEOREM OF CUPIT-FOUTOU AND ZAFFRAN ⋮ The topology of moment-angle manifolds -- on a conjecture of S. Gitler and S. López de Medrano ⋮ Irrational toric varieties and secondary polytopes ⋮ Real quadrics in \(\mathbb C^n\), complex manifolds and convex polytopes ⋮ Samuel Gitler and the topology of intersections of quadrics ⋮ Some open book and contact structures on moment-angle manifolds ⋮ Picard groups of certain compact complex parallelizable manifolds and related spaces ⋮ Topology of the intersections of ellipsoids in \(\mathbb{R}^n\) ⋮ LVMB manifolds and quotients of toric varieties ⋮ Algebraic embeddings of smooth almost complex structures ⋮ Complex manifolds with maximal torus actions ⋮ On LVMB, but Not LVM, Manifolds ⋮ Intersections of quadrics, moment-angle manifolds and connected sums ⋮ Torus invariant transverse Kähler foliations ⋮ Fibred links and a construction of real singularities via complex geometry ⋮ Structures complexes sur les produit de fibrés en cercles au-dessus des variétés complexes ⋮ A forgotten theorem on \(\mathbb{Z}^k\times\mathbb{R}^m\)-action germs and related questions ⋮ On Milnor’s fibration theorem and its offspring after 50 years ⋮ Non-Kähler manifolds and GIT-quotients ⋮ Quantum (non-commutative) toric geometry: foundations ⋮ Complex and CR-structures on compact Lie groups associated to Abelian actions ⋮ Group actions, non-Kähler complex manifolds and SKT structures ⋮ Hirzebruch surfaces in a one-parameter family ⋮ Ricci positive metrics on the moment-angle manifolds ⋮ Compact complex manifolds: an extension of Meersseman's and López de Medrano-Verjovsky's construction ⋮ LVMB manifolds and simplicial spheres ⋮ Non Kählerian equivariant compactifications of an algebraic multiplicative group ⋮ Singularities of homogeneous quadratic mappings ⋮ Singular Intersections of Quadrics I ⋮ Geometric structures on moment-angle manifolds ⋮ Norm minima in certain Siegel leaves ⋮ A generalization of Sankaran and LVMB manifolds ⋮ From Singularities to Polyhedral Products
Cites Work
- Examples of simply connected compact complex 3-folds. II
- Exemples de variétés presque complexes. (Examples of almost complex manifolds)
- A topological classification of complex structures on \(S^1 \times \Sigma^{2n-1}\)
- The topology of holomorphic flows with singularity
- Some complex structures on products of homotopy spheres
- Holomorphic flows and complex structures on products of odd dimensional spheres
- Riemannsche Hebbarkeitssätze für Cohomologieklassen
- A class of compact, complex manifolds which are not algebraic
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