On Fano manifolds, which are PK-bundles over P2

DOI10.1017/S0027763000003275zbMath0728.14037OpenAlexW1577102335MaRDI QIDQ3351518

Michał Szurek, Jarosław A. Wiśniewski

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1017/s0027763000003275

zbMATH Keywords

Chern classesMori theoryFano manifoldsspannedness

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Algebraic moduli problems, moduli of vector bundles (14D20) Fano varieties (14J45)

Related Items (15)

Weak Fano bundles on the cubic threefold ⋮ Rank two Fano bundles on \({\mathbb G}(1,4)\) ⋮ Classification of Mukai pairs with corank $3$ ⋮ On the quantum cohomology of blow-ups of four-dimensional quadrics ⋮ Borel \((\boldsymbol{\alpha},\boldsymbol{\beta})\)-multitransforms and quantum Leray-Hirsch: integral representations of solutions of quantum differential equations for \(\mathbb{P}^1\)-bundles ⋮ On rank 2 vector bundles on Fano manifolds ⋮ A classification theorem on Fano bundles ⋮ Fano fivefolds of index two with blow-up structure ⋮ On Banica sheaves and Fano manifolds ⋮ Nef vector bundles on a projective space with first Chern class three ⋮ Fano 4-Folds with scroll structure ⋮ THE CONE OF CURVES OF FANO VARIETIES OF COINDEX FOUR ⋮ Ample vector bundles and del Pezzo manifolds ⋮ Threefolds with big and nef anticanonical bundles. I ⋮ 4-folds with numerically effective tangent bundles and second Betti numbers greater than one

Cites Work

• On extremal rays of the higher dimensional varieties
• On the structure of polarized manifolds with total deficiency one. I
• Classification of Fano 3-folds with \(B_ 2 \geq 2\)

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