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Globally generated vector bundles on the Segre threefold with Picard number two
Author(s) -
Ballico Edoardo,
Huh Sukmoon,
Malaspina Francesco
Publication year - 2016
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500077
Subject(s) - vector bundle , mathematics , chern class , pure mathematics , class (philosophy) , characteristic class , splitting principle , vector (molecular biology) , algebra over a field , artificial intelligence , cohomology , computer science , recombinant dna , biochemistry , chemistry , gene
We classify globally generated vector bundles onP 1 × P 2with small first Chern class, i.e.c 1 = ( a , b ) , a + b ≤ 3 . Our main method is to investigate the associated smooth curves to globally generated vector bundles via the Hartshorne–Serre correspondence.