Hodge filtration, minimal exponent, and local vanishing
成果类型：
Article
署名作者：
Mustata, Mircea; Popa, Mihnea
署名单位：
University of Michigan System; University of Michigan; Northwestern University
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-019-00933-x
发表日期：
2020
页码：
453-478
关键词：
摘要：
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 -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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