Differential equations as embedding obstructions and vanishing theorems
  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. 
Damian Brotbek (IRMAR)
math.AG