Stability of syzygy bundles on certain Picard rank one varieties
Abstract
If X is a smooth projective variety of dimension at least 2 and Picard rank 1 on which every ample line bundle is globally generated, we prove that syzygy bundle of any ample line bundle is stable. This applies in particular to complete intersections in projective space. This extends earlier results of Jiang-Ren, Coandă and others.
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