Stability of syzygy bundles on an algebraic surface
classification
🧮 math.AG
keywords
bundleprojectivesurfacesyzygyalgebraicalgebraicallyampleassociated
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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.
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