Weak Fano threefolds with del Pezzo fibration

DOI10.1007/s40879-022-00571-3zbMath1505.14032arXiv0910.2188OpenAlexW1616157274MaRDI QIDQ2087713

Kiyohiko Takeuchi

Publication date: 21 October 2022

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.2188

zbMATH Keywords

birational mapFano threefoldMori fiber spacedel Pezzo fibration

Mathematics Subject Classification ID

(3)-folds (14J30) Rational and birational maps (14E05) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (5)

On the number of singular points of terminal factorial Fano threefolds ⋮ Towards the classification of weak Fano threefolds with \(\rho = 2\) ⋮ Rationality of Fano threefolds with terminal Gorenstein singularities. I ⋮ THE RATIONALITY OF THE MODULI SPACE OF ONE-POINTED INEFFECTIVE SPIN HYPERELLIPTIC CURVES VIA AN ALMOST DEL PEZZO THREEFOLD ⋮ Existence of stable reflexive sheaves on certain threefolds

Cites Work

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• On Del Pezzo fibrations over curves
• Intermediate Jacobians and Chow groups of threefolds with a pencil of del Pezzo surfaces
• Classification of Fano 3-folds with \(B_ 2 \geq 2\)
• Nonnormal del Pezzo surfaces
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
• Flops
• Variétés de Prym et jacobiennes intermédiaires
• Threefolds whose canonical bundles are not numerically effective

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