Nef vector bundles on a projective space or a hyperquadric with the first Chern class small

Abstract

We give a new proof of the classification due to Peternell-Szurek-Wi\'sniewski of nef vector bundles on a projective space with the first Chern class less than three and on a smooth hyperquadric with the first Chern class less than two over an algebraically closed field of characteristic zero.

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