Roberto Muñoz, Gianluca Occhetta, Luis E. Solá Conde
Abstract
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In this paper we give a splitting criterion for uniform vector bundles on Fano manifolds covered by lines. As a consequence, we classify low rank uniform vector bundles on Hermitian symmetric spaces and Fano bundles of rank two on Grassmannians.
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In this paper we give a splitting criterion for uniform vector bundles on Fano manifolds covered by lines. As a consequence, we classify low rank uniform vector bundles on Hermitian symmetric spaces and Fano bundles of rank two on Grassmannians.
Key concepts: Vector bundle, Fano plane, Rank (graph theory), Hermitian matrix, Pure mathematics, Mathematics, Topology (electrical circuits), Combinatorics