On compactifications of affine homology 3-cells into quadric fibrations

DOI10.1016/j.jalgebra.2020.07.008zbMath1461.14082arXiv1906.10626OpenAlexW3045997117MaRDI QIDQ2197764

Masaru Nagaoka

Publication date: 1 September 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.10626

zbMATH Keywords

compactificationsquadric fibrationsaffine homology 3-cells

Mathematics Subject Classification ID

(3)-folds (14J30) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (2)

\(\mathbb{G}_a^3\)-structures on del Pezzo fibrations ⋮ Compactifications of affine homology 3-cells into blow-ups of the projective 3-space with trivial log canonical divisors

Cites Work

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• Threefolds whose hyperplane sections are elliptic surfaces
• Analytic compactifications of complex homology cells
• A new construction of a compactification of \({\mathbb{C}}^ 3\)
• Compactifications of \({\mathbb{C}}\) 3. I
• Compactifications of \({\mathbb{C}}^ 3\). II
• Classification of Fano 3-folds with \(B_ 2 \geq 2\)
• Affine modifications and affine hypersurfaces with a very transitive automorphism group
• 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 \(\mathbb{C}^ 3\)
• A birational construction of projective compactifications of \(\mathbb{C}^{3}\) with second Betti number equal to one
• Compactification of \({\mathbb{C}}^ 3\) with reducible boundary divisor
• Rational surfaces over perfect fields
• Compactifications of contractible affine 3-folds into smooth Fano 3-folds with \(B_2=2\)
• Some problems on differentiable and complex manifolds
• Spaces of sections of quadric surface fibrations over curves
• The family of lines on the Fano threefold V₅
• Singular Del Pezzo surfaces and analytic compactifications of 3-dimensional complex affine space C³
• On residual variables and stably polynomial algebras
• Fano compactifications of contractible affine 3-folds with trivial log canonical divisors
• On the existence of almost Fano threefolds with del Pezzo fibrations
• Threefolds whose canonical bundles are not numerically effective

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