Complex hypersurfaces diffeomorphic to affine spaces

DOI10.2996/kmj/1138039958zbMath0820.14030OpenAlexW1980895186MaRDI QIDQ1340411

A. D. R. Choudary, Alexandru Dimca

Publication date: 19 December 1994

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138039958

zbMATH Keywords

complex hypersurfaces diffeomorphic to complex affine spacescontractible algebraic varieties

Mathematics Subject Classification ID

Compact analytic spaces (32J99) Hypersurfaces and algebraic geometry (14J70) Topological properties in algebraic geometry (14F45)

Related Items (11)

Computation of Milnor numbers and critical values at infinity ⋮ Affine threefolds with \(\mathbb{A}^{2}\)-fibrations ⋮ Real forms of some Gizatullin surfaces and Koras-Russell threefolds ⋮ An algorithm to find a coordinate's mate ⋮ Density property for hypersurfaces \(UV = p({\overline X})\) ⋮ Topology of complex polynomials and Jacobian conjecture ⋮ Simple birational extensions of the polynomial algebra ℂ^{[3}] ⋮ The cylinder over the Koras-Russell cubic threefold has a trivial Makar-Limanov invariant ⋮ Lefschetz fibrations and symplectic homology ⋮ Noncancellation for contractible affine threefolds ⋮ Algebraic hypersurfaces

Cites Work

• Singularities and topology of hypersurfaces
• The Jacobian conjecture and the extensions of polynomial embeddings
• Smooth contractible hypersurfaces in \(\mathbb{C}^ n\) and exotic algebraic structures on \(\mathbb{C}^ 3\)
• Exotic analytic structures and Eisenman intrinsic measures
• On the connectivity of complex affine hypersurfaces
• A topological characterisation of the affine plane as an algebraic variety
• On the homotopy types of hypersurfaces defined by weighted homogeneous polynomials
• An Algebro-Topological Characterization of the Affine Space of Dimension Three
• Singular Complex Surfaces in P ³ having the same Z -Homology and Q -Homotopy Type as P ²
• On the Structure of Manifolds
• Nonsingular Affine k ∗ -Surfaces
• A Geometrical Procedure for Killing the Middle Dimensional Homology Groups of Algebraic Hypersurfaces
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