A topological characterisation of the affine plane as an algebraic variety
From MaRDI portal
Publication:2546555
DOI10.2307/1970735zbMath0218.14021OpenAlexW1988403113MaRDI QIDQ2546555
Publication date: 1971
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: http://www.jstor.org/stable/1970735
Related Items (61)
Fake real planes: exotic affine algebraic models of \(\mathbb {R}^{2}\) ⋮ On the disk theorem ⋮ Complex hypersurfaces diffeomorphic to affine spaces ⋮ Exotic analytic structures and Eisenman intrinsic measures ⋮ Compact structures on \({\mathbb C}\) *\(\times {\mathbb C}\) * ⋮ A survey on Zariski cancellation problem ⋮ The first thirty years of Andersén-Lempert theory ⋮ The structure of algebraic embeddings of \(\mathbb{C}^{2}\) into \(\mathbb{C}^{3}\) (the normal quartic hypersurface case. II) ⋮ On contractible curves in the complex affine plane ⋮ The epimorphism theorem and its generalizations ⋮ A new proof of the theorems of Lin–Zaidenberg and Abhyankar–Moh–Suzuki ⋮ Deformations of $$\mathbb{A}^{1}$$ -Fibrations ⋮ Cancellation ⋮ Symplectic invariance of uniruled affine varieties and log Kodaira dimension ⋮ Analytic automorphisms and algebraic automorphisms of \(\mathbb{C}^2\) ⋮ Smooth Q$\mathbb {Q}$‐homology planes satisfying the negativity conjecture ⋮ The Zariski cancellation problem and related problems in affine algebraic geometry ⋮ On Zariski problem ⋮ A survey of the homology cobordism group ⋮ On topological characterizations of complex projective spaces and affine linear spaces ⋮ \( \mathbb{A}^1\)-connected components and characterisation of \(\mathbb{A}^2\) ⋮ Compactifications of \(C \times C^*\) and \((C^*)^ 2\) ⋮ On complete noncompact Kähler manifolds with positive bisectional curvature ⋮ A tribute to a work of C. P. Ramanujam ⋮ Compactifications of 𝐶² ⋮ Surfaces of class \(VII_ 0\) with curves ⋮ An example in connection with the Jacobian conjecture ⋮ On free holomorphic \({\mathbb{C}}\)-actions on \({\mathbb{C}}^ n\) and homogeneous Stein manifolds ⋮ Quasi-projective embeddings of noncompact complete Kähler manifolds of positive Ricci curvature and satisfying certain topological conditions ⋮ Legendrian fronts for affine varieties ⋮ Families of exotic affine 3-spheres ⋮ An embedding theorem of complete Kähler manifolds of positive bisectional curvature onto affine algebraic varieties ⋮ An algebraic proof of a cancellation theorem for surfaces ⋮ Generically rational polynomials of quasi-simple type ⋮ Automorphisms of affine surfaces with \(\mathbb A^1\)-fibrations ⋮ \(\mathbb A^1\)-equivalence of zero cycles on surfaces. II ⋮ Notes on minimal compactifications of the affine plane ⋮ 𝔸1-contractibility of affine modifications ⋮ On singular complex surfaces with negative canonical bundle, with applications to singular compactifications of \(\mathbb C^2\) and to 3-dimensional rational singularities ⋮ Compactifications of \(\mathbb{C}\times\mathbb{C}^*\) and \((\mathbb{C}^*)^2\) ⋮ Algebraic automorphisms of smooth affine surfaces ⋮ Lefschetz fibrations and symplectic homology ⋮ Some recent results in the area of non-complete algebraic varieties ⋮ Homogeneous locally nilpotent derivations having slices and embeddings of affine spaces ⋮ Compactification of \({\mathbb{C}}^ 3\) with reducible boundary divisor ⋮ \(\mathbb{A}^1\)-homotopy theory and contractible varieties: a survey ⋮ An algebraic characterization of the affine three space ⋮ Affine modifications and affine hypersurfaces with a very transitive automorphism group ⋮ Affine plane curves with one place at infinity ⋮ On exotic affine 3-spheres ⋮ A note on compactifications of \(C^2\) ⋮ Locally nilpotent derivations and the structure of rings ⋮ Four-dimensional topology: an introduction ⋮ Topological characterization of C2 via open algebraic surface theory ⋮ Compactifications of contractible affine 3-folds into smooth Fano 3-folds with \(B_2=2\) ⋮ Rational mappings of Del Pezzo surfaces, and singular compactifications of two-dimensional affine varieties ⋮ A new proof of the Abhyankar-Moh-Suzuki theorem ⋮ A note on the stable equivalence problem ⋮ Real frontiers of fake planes ⋮ Smooth contractible hypersurfaces in \(\mathbb{C}^ n\) and exotic algebraic structures on \(\mathbb{C}^ 3\) ⋮ Non-Kähler complex structures on \(\mathbb{R}^4\)
This page was built for publication: A topological characterisation of the affine plane as an algebraic variety