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arXiv · 2310.17380

Bott Vanishing via Hodge Theory

Chuanhao Wei
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Abstract

In this paper, we revise the Bott Vanishing on projective toric varieties by giving it an alternative proof with a condition that is compatible with the condition of Kawamata-Viehweg Vanishing. This proof can also be adapted to generalize Bott Vanishing to the setting using mixed Hodge modules. Lastly, we give a counter-example towards the relative Bott Vanishing for birational morphisms.

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Chuanhao Wei. 2023-10-26. Bott Vanishing via Hodge Theory. https://arxiv.org/abs/2310.17380

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