Differential equations as embedding obstructions and vanishing theorems

Details Differential equations as embedding obstructions and vanishing theorems Differential equations as embedding obstructions and vanishing theorems

2011-11-22

arxiv.org/abs/1111.5324v1

Mathematics

Algebraic Geometry

11 page, comments are welcome

Scientific paper

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.

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