Singular Fano compactifications of \(\mathbb C^3\). I.

DOI10.1007/s00209-004-0677-5zbMath1075.14039OpenAlexW1995695070MaRDI QIDQ706113

Mikio Furushima

Publication date: 2 February 2005

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

Full work available at URL: https://doi.org/10.1007/s00209-004-0677-5

zbMATH Keywords

Fano threefoldscompactifications of \({\mathbb C}^3\)small singularities

Mathematics Subject Classification ID

(3)-folds (14J30) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30) Compactification of analytic spaces (32J05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new construction of a compactification of \({\mathbb{C}}^ 3\)
• 3-dimensional Fano varieties with canonical singularities
• Compactifications of \({\mathbb{C}}\) 3. I
• Compactifications of \({\mathbb{C}}^ 3\). II
• Non-projective compactifications of \(\text{C}^3\). III: A remark on indices
• The complete classification of compactifications of \(\mathbb{C}^ 3\) which are projective manifolds with the second Betti number one
• An example of a non-projective smooth compactification of \(\mathbb{C}^ 3\) with second Betti number equal to one
• A birational construction of projective compactifications of \(\mathbb{C}^{3}\) with second Betti number equal to one
• Nonnormal del Pezzo surfaces
• Some problems on differentiable and complex manifolds
• The family of lines on the Fano threefold V₅
• Quartic Surfaces of Elliptic Ruled Type
• Singular Del Pezzo surfaces and analytic compactifications of 3-dimensional complex affine space C³
• FANO 3-FOLDS. II
• FANO 3-FOLDS. I
• On Minimally Elliptic Singularities
• NON-PROJECTIVE COMPACTIFICATIONS OF C3 (I)
• NON-PROJECTIVE COMPACTIFICATIONS OF C3 II: NEW EXAMPLES
• On classification of ℚ-fano 3-folds of Gorenstein index 2. I
• On classification of ℚ-fano 3-folds of Gorenstein index 2. II
• On non-normal del Pezzo surfaces
• Threefolds whose canonical bundles are not numerically effective

This page was built for publication: Singular Fano compactifications of \(\mathbb C^3\). I.