Stability of syzygy bundles on smooth projective varieties
arXiv:2104.10271
Abstract
We prove that the kernel bundle of the evaluation morphism of global sections, namely the syzygy bundle, of a sufficiently ample line bundle on a smooth projective variety is slope stable with respect to any polarization. This settles a conjecture of Ein-Lazarsfeld-Mustopa.
The inequality deg(\bar{N}_d)<=μ(\bar{M}_d)rank(F_d) (appeared on page 4) is wrong, and this invalidates the rest of the proof