A Geometrical Procedure for Killing the Middle Dimensional Homology Groups of Algebraic Hypersurfaces

DOI10.2307/2041788zbMath0359.14007OpenAlexW4246861392MaRDI QIDQ4132651

Anatoly S. Libgober

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2041788

Mathematics Subject Classification ID

Complete intersections (14M10) Classical real and complex (co)homology in algebraic geometry (14F25) Differentiable structures in differential topology (57R55) Special surfaces (14J25)

Related Items (6)

Complex hypersurfaces diffeomorphic to affine spaces ⋮ Topology of nonsingular complex hypersurfaces ⋮ On the Topological Structure of Even-Dimensional Complete Intersections ⋮ Complete intersections as branched covers and the Kervaire invariant ⋮ On complex projective hypersurfaces ⋮ Smooth contractible hypersurfaces in \(\mathbb{C}^ n\) and exotic algebraic structures on \(\mathbb{C}^ 3\)

Cites Work

• Removing handles from nonsingular algebraic hypersurfaces in \(CP_{n+1}\)
• The Kervaire invariant of hypersurfaces in complex projective spaces
• Polynomial invariants of knots of codimension two
• Isolated singularities defined by weighted homogeneous polynomials
• Classification of (n-1)-connected 2n-manifolds

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