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

DOI10.1007/BF02571665zbMath0790.32027MaRDI QIDQ1319321

Mikio Furushima

Publication date: 20 June 1994

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

Full work available at URL: https://eudml.org/doc/174494

zbMATH Keywords

Fano 3-foldcompactification of \(\mathbb{C}^ 3\)

Mathematics Subject Classification ID

Compact complex (3)-folds (32J17) (3)-folds (14J30) Divisors, linear systems, invertible sheaves (14C20) Compactification of analytic spaces (32J05)

Related Items (6)

Fano compactifications of contractible affine 3-folds with trivial log canonical divisors ⋮ Fano threefolds as equivariant compactifications of the vector group ⋮ On compactifications of affine homology 3-cells into quadric fibrations ⋮ Cylinders in Fano varieties ⋮ Compactifications of contractible affine 3-folds into smooth Fano 3-folds with \(B_2=2\) ⋮ The complete classification of compactifications of \(\mathbb{C}^ 3\) which are projective manifolds with the second Betti number one

Cites Work

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• A new construction of a compactification of \({\mathbb{C}}^ 3\)
• Compactifications of \({\mathbb{C}}\) 3. I
• Compactifications of \({\mathbb{C}}^ 3\). II
• DOUBLE PROJECTION FROM A LINE ON FANO THREEFOLDS OF THE FIRST KIND
• The family of lines on the Fano threefold V₅
• Singular Del Pezzo surfaces and analytic compactifications of 3-dimensional complex affine space C³
• Mukai-Umemura’s example of the Fano threefold with genus 12 as a compactification of C³

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