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Vanishing Theorem for Hodge Ideals on smooth hypersurfaces
Published 25 Jan 2023 in math.AG | (2301.10596v3)
Abstract: We use a Koszul-type resolution to prove a weak version of Bott's vanishing theorem for smooth hypersurfaces in $\mathbb{P}n$ and use this result to prove a vanishing theorem for Hodge ideals associated with an effective Cartier divisor on a hypersurface. This extends an earlier result of Mustata and Popa.
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