Lawrence Ein, Robert Lazarsfeld, Yusuf Mustopa
Published 2012-11-29Version 1
Given a very ample line bundle L on a projective variety X, the syzygy bundle M_L 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 M_L is slope-stable for any sufficiently positive L.
Some Remarks on H-stability of syzygy bundle on algebraic surface
Okounkov bodies for ample line bundles with applications to multiplicities for group representations
Tilting generators via ample line bundles
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