The complete classification of compactifications of \(\mathbb{C}^ 3\) which are projective manifolds with the second Betti number one

DOI10.1007/BF01459521zbMath0788.32022OpenAlexW2091914100MaRDI QIDQ1318151

Mikio Furushima

Publication date: 26 May 1994

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

Full work available at URL: https://eudml.org/doc/165150

zbMATH Keywords

projective compactification of \(\mathbb{C}^ 3\)second Betti number one

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Compactification of analytic spaces (32J05)

Related Items (12)

An example of a non-projective smooth compactification of \(\mathbb{C}^ 3\) with second Betti number equal to one ⋮ Fano compactifications of contractible affine 3-folds with trivial log canonical divisors ⋮ Completions of affine spaces into Mori fiber spaces with non‐rational fibers ⋮ Fano threefolds as equivariant compactifications of the vector group ⋮ On compactifications of affine homology 3-cells into quadric fibrations ⋮ A birational construction of projective compactifications of \(\mathbb{C}^{3}\) with second Betti number equal to one ⋮ Affine cones over Fano threefolds and additive group actions ⋮ Cylinders in Fano varieties ⋮ Fano-Mukai fourfolds of genus 10 as compactifications of \(\mathbb{C}^4\) ⋮ Singular Fano compactifications of \(\mathbb C^3\). I. ⋮ Cylinders in Mori fiber spaces: forms of the quintic del Pezzo threefold ⋮ Compactifications of contractible affine 3-folds into smooth Fano 3-folds with \(B_2=2\)

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