Splitting conjectures for uniform flag bundles

DOI10.1007/s40879-019-00343-6zbMath1442.14131arXiv1711.10908OpenAlexW2963541191WikidataQ123113710 ScholiaQ123113710MaRDI QIDQ2181910

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

Publication date: 20 May 2020

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

Full work available at URL: https://arxiv.org/abs/1711.10908

zbMATH Keywords

homogeneous spacesdiagonalizabilityflag and principal bundlessplit bundle

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Grassmannians, Schubert varieties, flag manifolds (14M15) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (6)

Nestings of rational homogeneous varieties ⋮ Effective good divisibility of rational homogeneous varieties ⋮ Morphisms between Grassmannians ⋮ Maximal disjoint Schubert cycles in rational homogeneous varieties ⋮ Rational homogeneous spaces as geometric realizations of birational transformations ⋮ Vector bundles on rational homogeneous spaces

Uses Software

• Book3264Examples

Cites Work

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• Flag bundles on Fano manifolds
• Algebraic geometry and analytic geometry
• Uniform vector bundles of rank \((n+1)\) on \({\mathbb{P}}_ n\)
• Caractérisation par l'uniformité des fibrés universels sur la grassmannienne
• Vector bundles on complex projective spaces
• Des fibres uniformes non homogènes
• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
• Uniform vector bundles on a projective space
• On morphisms from projective space \(P^n\) to the Grassmann variety \(Gr(n,d)\)
• On the projective geometry of rational homogeneous varieties
• Rank two Fano bundles on \({\mathbb G}(1,4)\)
• Rational curves, Dynkin diagrams and Fano manifolds with nef tangent bundle
• Triviality and split of vector bundles on rationally connected varieties
• On uniform vector bundles
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• 3264 and All That
• Uniform vector bundles on Fano manifolds and applications
• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
• Sur les fibrés uniformes de rang $(n+1)$ sur $P\sp n$

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