Henry Dakin

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math.AG2025

Weight filtration and generating level

Henry Dakin

We study the canonical mixed Hodge module structure associated to the $D_{X}$ -module $M (f^{- I^\pm}) := O_{X} (* f) f^{- I^\pm}$ . We particularly focus on the weight f…

math.AG2024

Hodge filtrations for twisted parametrically prime divisors

Henry Dakin

We extend previous work to the case of $Q$ -divisors. Namely, for certain parametrically prime holomorphic functions $f$ and $I^\pm \geq 0$ , we obtain an explicit expression fo…

math.AG2024

The Hodge filtration and parametrically prime divisors

Daniel Bath, Henry Dakin

We study the canonical Hodge filtration on the sheaf $O_{X} (* D)$ of meromorphic functions along a divisor. For a germ of an analytic function $f$ whose Bernstein-Sato's pol…