Hodge filtrations for twisted parametrically prime divisors (2412.01738v1)

Published 2 Dec 2024 in math.AG

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 $\mathscr{M}(f^{{-\alpha}):=\mathscr{O}_X(*f)f^{-\alpha}$.}