Mircea Mustata, Mihnea Popa
Published 2019-01-17Version 1
We bound the generation level of the Hodge filtration on the localization along a hypersurface in terms of its minimal exponent. As a consequence, we obtain a local vanishing theorem for sheaves of forms with log poles. These results are extended to Q-divisors, and are derived from a result of independent interest on the generation level of the Hodge filtration on nearby and vanishing cycles.
The minimal exponent and $k$-rationality for locally complete intersections
The Du Bois complex of a hypersurface and the minimal exponent
On $V$-filtration, Hodge filtration and Fourier transform
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