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arXiv · 2412.01738

Hodge filtrations for twisted parametrically prime divisors

Henry Dakin
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Abstract

We extend previous work to the case of $\mathbb{Q}$-divisors. Namely, for certain parametrically prime holomorphic functions $f$ and $\alpha \geq 0$, we obtain an explicit expression for the Hodge filtration on $\mathscr{M}(f^{-\alpha}):=\mathscr{O}_X(*f)f^{-\alpha}$.

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Henry Dakin. 2024-12-02. Hodge filtrations for twisted parametrically prime divisors. https://arxiv.org/abs/2412.01738

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