English

Differential equations as embedding obstructions and vanishing theorems

Algebraic Geometry 2011-11-23 v1

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.

Keywords

Cite

@article{arxiv.1111.5324,
  title  = {Differential equations as embedding obstructions and vanishing theorems},
  author = {Damian Brotbek},
  journal= {arXiv preprint arXiv:1111.5324},
  year   = {2011}
}

Comments

11 page, comments are welcome

R2 v1 2026-06-21T19:40:07.479Z