EXAMPLES OF COMPACT HOLOMORPHIC SYMPLECTIC MANIFOLDS WHICH ARE NOT KÄHLERIAN III

DOI10.1142/S0129167X95000298zbMath0857.32018MaRDI QIDQ4865725

Zhuang-Dan Guan

Publication date: 3 March 1997

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144294

zbMATH Keywords

deformationsKähler structureholomorphic symplectic manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Compact analytic spaces (32J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Compact Kähler manifolds: generalizations, classification (32J27) Deformations of complex structures (32G05)

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Holomorphic G-Structures and Foliated Cartan Geometries on Compact Complex Manifolds ⋮ Hodge Invariants of Higher-Dimensional Analogues of Kodaira Surfaces ⋮ On classification of compact complex solvmanifolds ⋮ On reprensentation theory and the cohomology rings of irreducible compact hyper-Kähler manifolds of complex dimension four ⋮ On involutions with middle-dimensional fixed-point locus and holomorphic-symplectic manifolds ⋮ A family of compact complex and symplectic Calabi-Yau manifolds that are non-Kähler ⋮ \(\partial\overline{\partial}\)-complex symplectic and Calabi-Yau manifolds: Albanese map, deformations and period maps ⋮ Complex symplectic structures on Lie algebras ⋮ The nondegenerate generalized Kähler Calabi-Yau problem ⋮ Holomorphic \(\operatorname{GL}_2(\mathbb{C})\)-geometry on compact complex manifolds ⋮ A pseudo-Kähler structure on a nontoral compact complex parallelizable colvmanifold

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