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| Главные авторы: | , |
|---|---|
| Формат: | Preprint |
| Опубликовано: |
2023
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| Предметы: | |
| Online-ссылка: | https://arxiv.org/abs/2301.09084 |
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Оглавление:
- In this note, we give several equivalent characterizations of higher Du Bois and higher rational singularities in the context of globally defined hypersurfaces. As a key input, we characterize these singularities using the Hodge filtration on the vanishing cycle mixed Hodge module. As an application, we indicate a homological criterion for detecting higher Du Bois and higher rational hypersurface singularities, formulated in terms of the spectral Hirzebruch-Milnor characteristic classes.