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arXiv · 2401.00968

Kodaira-Saito vanishing for the irregular Hodge filtration

Claude Sabbah
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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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Claude Sabbah. 2024-01-01. Kodaira-Saito vanishing for the irregular Hodge filtration. https://arxiv.org/abs/2401.00968

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