Differential equations as embedding obstructions and vanishing theorems

Damian Brotbek (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

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.

Mots clés: Vanishing theorems; jet differential bundles

Domaines: Géométrie algébrique [math.AG]

Damian Brotbek. Differential equations as embedding obstructions and vanishing theorems. 2011. ⟨hal-00643612⟩