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arXiv · 1806.10847

Morse cohomology estimates for jet differential operators

Jean-Pierre Demailly·Mohammad Reza Rahmati
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Abstract

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 directedstructure.

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Jean-Pierre Demailly, Mohammad Reza Rahmati. 2018-06-28. Morse cohomology estimates for jet differential operators. https://arxiv.org/abs/1806.10847

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