Hodge structures on cohomology algebras and geometry

DOI10.1007/s00208-007-0181-4zbMath1142.14006arXivmath/0703523OpenAlexW2104755204MaRDI QIDQ2480872

Claire Voisin

Publication date: 3 April 2008

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703523

zbMATH Keywords

Kähler manifoldsymplectic manifoldHodge theory

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Families, moduli, classification: algebraic theory (14J10) Connected and locally connected spaces (general aspects) (54D05) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (7)

Laplace operators on Sasaki-Einstein manifolds ⋮ Superconformal indices and M2-branes ⋮ Compact Kähler manifolds with no projective specialization ⋮ A note on the Hard Lefschetz property of symplectic structures ⋮ Algebraic geometry versus Kähler geometry ⋮ Characteristic varieties and logarithmic differential 1-forms ⋮ A family of compact complex and symplectic Calabi-Yau manifolds that are non-Kähler

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