Weight filtration and generating level
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _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 |