A new construction of a compactification of \({\mathbb{C}}^ 3\)

DOI10.2748/tmj/1178227726zbMath0703.14025OpenAlexW2167828563MaRDI QIDQ915809

Noboru Nakayama, Mikio Furushima

Publication date: 1989

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227726

zbMATH Keywords

Fano 3-foldsingular Del Pezzo surfacesmooth projective compactification of complex 3-space

Mathematics Subject Classification ID

(3)-folds (14J30) Compactification of analytic spaces (32J05)

Related Items

Fano compactifications of contractible affine 3-folds with trivial log canonical divisors ⋮ Geometries of lines and conics on the quintic del Pezzo 3-fold and its application to varieties of power sums ⋮ Fano threefolds as equivariant compactifications of the vector group ⋮ On compactifications of affine homology 3-cells into quadric fibrations ⋮ Cylinders in Fano varieties ⋮ The variety of reductions for a reductive symmetric pair ⋮ Singular Fano compactifications of \(\mathbb C^3\). I. ⋮ The moduli space of genus four even spin curves is rational ⋮ The family of lines on the Fano threefold V₅ ⋮ Cylinders in Mori fiber spaces: forms of the quintic del Pezzo threefold ⋮ Compactifications of contractible affine 3-folds into smooth Fano 3-folds with \(B_2=2\) ⋮ Unnamed Item ⋮ The complete classification of compactifications of \(\mathbb{C}^ 3\) which are projective manifolds with the second Betti number one ⋮ A new example of a compactification of \(\mathbb{C}^ 3\)

Cites Work

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• The birational geometry of surfaces with rational double points
• Compactifications of \({\mathbb{C}}\) 3. I
• Anticanonical models of three-dimensional algebraic varieties
• Vector bundles on complex projective spaces
• Singular Del Pezzo surfaces and analytic compactifications of 3-dimensional complex affine space C³
• Projective modules over polynomial rings