Weight filtration and generating level
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908282889699328 |
|---|---|
| author | Dakin, Henry |
| author_facet | Dakin, Henry |
| contents | We study the canonical mixed Hodge module structure associated to the $\mathscr{D}_X$-module $\mathscr{M}(f^{-α}):=\mathscr{O}_X(*f)f^{-α}$. We particularly focus on the weight filtration and extend many known results to the weighted setting. We obtain new relations between Hodge theory and birational geometry. We derive a general formula for the Hodge and weight filtrations on $\mathscr{M}(f^{-α})$, and use this to obtain results concerning the largest weight of $\mathscr{M}(f^{-α})$ and the generating level of weight filtration steps. Finally, we obtain expressions for several classes of divisor, including certain parametrically prime divisors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14216 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weight filtration and generating level Dakin, Henry Algebraic Geometry We study the canonical mixed Hodge module structure associated to the $\mathscr{D}_X$-module $\mathscr{M}(f^{-α}):=\mathscr{O}_X(*f)f^{-α}$. We particularly focus on the weight filtration and extend many known results to the weighted setting. We obtain new relations between Hodge theory and birational geometry. We derive a general formula for the Hodge and weight filtrations on $\mathscr{M}(f^{-α})$, and use this to obtain results concerning the largest weight of $\mathscr{M}(f^{-α})$ and the generating level of weight filtration steps. Finally, we obtain expressions for several classes of divisor, including certain parametrically prime divisors. |
| title | Weight filtration and generating level |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2503.14216 |