Fano 4-Folds with scroll structure

DOI10.1017/S0027763000025095zbMath0960.14019MaRDI QIDQ4209784

Adrian Langer

Publication date: 9 November 1998

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

adjunction theoryminimal model programFano fourfoldextremal ray contractionscrolls over threefolds

Mathematics Subject Classification ID

(4)-folds (14J35) Classification of affine varieties (14R05) Fano varieties (14J45)

Related Items (8)

Weak Fano bundles on the cubic threefold ⋮ Classification of rank two weak Fano bundles on del Pezzo threefolds of degree four ⋮ Classification of ℚ-Fano 3-folds of Gorenstein index 2 via key varieties constructed from projective bundles ⋮ Rank two weak Fano bundles on del Pezzo threefolds of degree five ⋮ Boundedness of finite morphisms onto Fano manifolds with large Fano index ⋮ On the minimal length of extremal rays for Fano four-folds ⋮ Nef vector bundles on a projective space with first Chern class three ⋮ THE RATIONALITY OF THE MODULI SPACE OF ONE-POINTED INEFFECTIVE SPIN HYPERELLIPTIC CURVES VIA AN ALMOST DEL PEZZO THREEFOLD

Cites Work

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• Fano manifolds and vector bundles
• A note on nonvanishing and applications
• Fano manifolds and quadric bundles
• Stable vector bundles on quadric hypersurfaces
• On Fano manifolds, which are P^K-bundles over P²

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