Abstract
We give a new proof of the classification due to Peternell–Szurek–Wiśniewski 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. We also classify nef vector bundles containing a line bundle of next-to-maximal degree on a projective space.
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More From: Rendiconti del Circolo Matematico di Palermo Series 2
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