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Bott Vanishing via Hodge Theory

Author:
Chuanhao Wei
Keyword:
Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)
journal:
--
date:
2023-10-25 16:00:00
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.
PDF: Bott Vanishing via Hodge Theory.pdf
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