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We classify nef vector bundles on a smooth hyperquadric of dimension <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi/> <m:mo>≥</m:mo> <m:mn>4</m:mn> </m:mrow> </m:math> {≥ 4} with first Chern class two over an algebraically closed field of characteristic zero.
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Masahiro Ohno (2024) studied this question.
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