Nef vector bundles on a projective space or a hyperquadric with the   first Chern class small
  We give a new proof of the classification due to Peternell-Szurek-Wi\'{s}niewski 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. 
Masahiro Ohno
math.AG