Fano threefolds with wild conic bundle structures

DOI10.3792/pjaa.79.111zbMath1058.14058OpenAlexW1975497689MaRDI QIDQ1424022

Shigefumi Mori, Natsuo Saito

Publication date: 8 March 2004

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.79.111

zbMATH Keywords

characteristic 2wild hypersurface bundles

Mathematics Subject Classification ID

(3)-folds (14J30) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items

Retracted article: Some pathologies of Fano manifolds in positive characteristic ⋮ Deformations of rational curves in positive characteristic ⋮ Birational geometry of quadrics in characteristic 2 ⋮ Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces. I ⋮ Weak del Pezzo surfaces with irregularity ⋮ Singularities appearing on generic fibers of morphisms between smooth schemes ⋮ On fibrations whose geometric fibers are nonreduced ⋮ Positive characteristic algebraic geometry ⋮ Invariants of algebraic varieties over imperfect fields ⋮ On Kawamata-Viehweg type vanishing for three dimensional Mori fiber spaces in positive characteristic

Cites Work

• Classification of Fano 3-folds with \(B_ 2 \geq 2\)
• Fano threefolds with Picard number 2 in positive characteristic
• Extremal rays on smooth threefolds
• Threefolds whose canonical bundles are not numerically effective
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