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Globally generated vector bundles on the Segre threefold with Picard number two
Authors:Edoardo Ballico  Sukmoon Huh  Francesco Malaspina
Institution:1. Università di Trento, Povo (TN), Italy;2. Sungkyunkwan University, Suwon, Korea;3. Politecnico di Torino, Torino, Italy
Abstract:We classify globally generated vector bundles on urn:x-wiley:0025584X:media:mana201500077:mana201500077-math-0001 with small first Chern class, i.e. urn:x-wiley:0025584X:media:mana201500077:mana201500077-math-0002, urn:x-wiley:0025584X:media:mana201500077:mana201500077-math-0003. Our main method is to investigate the associated smooth curves to globally generated vector bundles via the Hartshorne–Serre correspondence.
Keywords:Segre variety  vector bundles  globally generated  curves in projective spaces  14H50  14J60  14M07
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