Hodge filtration, minimal exponent, and local vanishing
Hodge filtration, minimal exponent, and local vanishing
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DOI：
10.1007/s00222-019-00933-x
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发表时间：
2019-01
影响因子：
3.1
通讯作者：
M. Mustaţă;M. Popa
中科院分区：
文献类型：
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作者：
M. Mustaţă;M. Popa
我们根据其最小指数将 Hodge 过滤的生成水平限制在沿超曲面的定位上。因此，我们得到了具有原木杆的形式束的局部消失定理。这些结果被扩展到除数，并且源自对邻近循环和消失循环的霍奇过滤的生成水平的独立兴趣的结果。
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.