Differential equations as embedding obstructions and vanishing theorems

2011/11/22 by Damian Brotbek, Brotbek, Damian · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math.AG

paper · pdf · doi:10.48550/arxiv.1111.5324

11 page, comments are welcome

arxiv created 2011/11/22 · openalex publication_date 2011/11/22 · arxiv updated 2011/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Varieties with ample cotangent bundle

Cited by

• On the positivity of the logarithmic cotangent bundle

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