2012/11/29 by Ein, Lawrence, Lazarsfeld, Robert, Mustopa, Yusuf
#Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1211.6921
Given a very ample line bundle L on a projective variety X, the syzygy bundle ML associated to L is the kernel of the evaluation map on sections of L. Our main result is that if X is a smooth projective surface defined over an algebraically closed field, then ML is slope-stable for any sufficiently positive L.