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Pré-Publication, Document De Travail Année : 2018

Morse cohomology estimates for jet differential operators

Jean-Pierre Demailly

Résumé

We provide detailed holomorphic Morse estimates for the cohomology of sheaves of jet differentials and their dual sheaves. These estimates apply on arbitrary directed varieties, and a special attention has been given to the analysis of the singular situation. As a consequence, we obtain existence results for global jet differentials and global differential operators under positivity conditions for the canonical or anticanonical sheaf of the directed structure.
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Dates et versions

hal-01824823 , version 1 (27-06-2018)

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Jean-Pierre Demailly, Mohammad Reza Rahmati. Morse cohomology estimates for jet differential operators. 2018. ⟨hal-01824823⟩

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