Differential equations as embedding obstructions and vanishing theorems
arXiv:1111.5324
Abstract
We generalize a vanishing theorem for the cohomology of symmetric powers of the cotangent bundle of subvarieties of projective space due to Schneider. From this we deduce new vanishing results for Green-Griffiths jet differential bundles, generalizing results of Diverio and Pacienza-Rousseau.
11 page, comments are welcome