A classification theorem on Fano bundles

DOI10.5802/aif.2850zbMath1317.14108arXiv1204.4793OpenAlexW2252927072MaRDI QIDQ486754

Roberto Muñoz, Gianluca Occhetta, Luis-Eduardo Solá-Conde

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4793

zbMATH Keywords

vector bundleFano manifold

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (6)

Weak Fano bundles on the cubic threefold ⋮ All complete intersection varieties are Fano visitors ⋮ Classification of rank two weak Fano bundles on del Pezzo threefolds of degree four ⋮ Rank two weak Fano bundles on del Pezzo threefolds of degree five ⋮ NORMALISED TANGENT BUNDLE, VARIETIES WITH SMALL CODEGREE AND PSEUDOEFFECTIVE THRESHOLD ⋮ Borel \((\boldsymbol{\alpha},\boldsymbol{\beta})\)-multitransforms and quantum Leray-Hirsch: integral representations of solutions of quantum differential equations for \(\mathbb{P}^1\)-bundles

Cites Work

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• Projective manifolds whose tangent bundles are numerically effective
• Rank-2 Fano bundles over a smooth quadric \(Q_ 3\)
• Fano bundles over \(P^ 3\) and \(Q_ 3\)
• A Barth-type theorem for branched coverings of projective space
• Vector bundles on complex projective spaces
• Stable rank-2 vector bundles on \(\mathbb{P}_2\) with \(c_1\) odd
• Two theorems on elementary contractions
• Fano bundles and splitting theorems on projective spaces and quadrics
• Projective manifolds swept out by large dimensional linear spaces
• Birationality of the tangent map for minimal rational curves
• Rank two Fano bundles on \({\mathbb G}(1,4)\)
• Projective manifolds containing a large linear subspace with nef normal bundle
• Deformation of holomorphic maps onto Fano manifolds of second and fourth Betti numbers 1
• On rank 2 vector bundles on Fano manifolds
• Uniform vector bundles on Fano manifolds and applications
• On Fano manifolds, which are P^K-bundles over P²
• Some Special Cremona Transformations
• ON CONIC BUNDLE STRUCTURES
• Biregular classification of Fano 3-folds and Fano manifolds of coindex 3
• Boundedness of semi-stable sheaves of small ranks
• Conic bundles with big discriminant loci
• On the degrees of Fano four-folds of Picard number 1
• Threefolds in ℙ⁵with One Apparent Quadruple Point
• Severi varieties and their varieties of reductions
• On contractions of extremal rays of Fano manifolds.
• On the construction of some Buchsbaum varieties and the Hilbert scheme of elliptic scrolls in \(\mathbb{P}^5\).

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