Higher Du Bois and higher rational singularities of hypersurfaces
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912152515772416 |
|---|---|
| author | Maxim, Laurenţiu Yang, Ruijie |
| author_facet | Maxim, Laurenţiu Yang, Ruijie |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_09084 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Higher Du Bois and higher rational singularities of hypersurfaces Maxim, Laurenţiu Yang, Ruijie Algebraic Geometry Primary: 14J17, Secondary: 32S35, 32S50, 14C17 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. |
| title | Higher Du Bois and higher rational singularities of hypersurfaces |
| topic | Algebraic Geometry Primary: 14J17, Secondary: 32S35, 32S50, 14C17 |
| url | https://arxiv.org/abs/2301.09084 |