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arXiv · 1901.05780

Hodge filtration, minimal exponent, and local vanishing

Mircea Mustata·Mihnea Popa
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Abstract

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.

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Mircea Mustata, Mihnea Popa. 2019-01-17. Hodge filtration, minimal exponent, and local vanishing. https://doi.org/10.1007/s00222-019-00933-x

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