English

Kodaira-Saito vanishing for the irregular Hodge filtration

Algebraic Geometry 2024-01-03 v1

Abstract

After making correct, and then improving, our definition of the category of irregular mixed Hodge modules thanks to Mochizuki's recent results arXiv:2108.03843, we show how these results allow us to obtain Kodaira-Saito-type vanishing theorems for the irregular Hodge filtration of irregular mixed Hodge modules.

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Cite

@article{arxiv.2401.00968,
  title  = {Kodaira-Saito vanishing for the irregular Hodge filtration},
  author = {Claude Sabbah},
  journal= {arXiv preprint arXiv:2401.00968},
  year   = {2024}
}

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27 pages