On the Hilbert scheme of points of an almost complex fourfold

DOI10.5802/aif.1769zbMath0954.14002OpenAlexW2016433438MaRDI QIDQ1977482

Claire Voisin

Publication date: 17 May 2000

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2000__50_2_689_0

zbMATH Keywords

Hilbert schemealmost complex structuredesingularizationsymmetric productHilbert-Chow morphismpseudoholomorphic curves

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (3)

Topological properties of Hilbert schemes of almost-complex four-manifolds. II. ⋮ Topological properties of Hilbert schemes of almost-complex fourfolds. I ⋮ The decomposition theorem, perverse sheaves and the topology of algebraic maps

Cites Work

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• On the homology of the Hilbert scheme of points in the plane
• The Betti numbers of the Hilbert scheme of points on a smooth projective surface
• The local behaviour of holomorphic curves in almost complex 4-manifolds
• Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces
• Holomorphic curves in symplectic geometry
• Heisenberg algebra and Hilbert schemes of points on projective surfaces
• The cohomology ring of the Hilbert scheme of 3 points on a smooth projective variety.
• Algebraic Families on an Algebraic Surface

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