On the Quot scheme $\mathrm{Quot}^{l}_{S}(\mathcal{E})$
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2021
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915972793761792 |
|---|---|
| author | Stark, Samuel |
| author_facet | Stark, Samuel |
| contents | We study the geometry of the Quot scheme $\mathrm{Quot}^l_{S}(\mathcal{E})$ of length $l$ coherent sheaf quotients of a locally free sheaf $\mathcal{E}$ on a smooth projective surface $\mathrm{S}$. In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of sheaves on $\mathrm{Quot}^l_{S}(\mathcal{E})$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_03991 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On the Quot scheme $\mathrm{Quot}^{l}_{S}(\mathcal{E})$ Stark, Samuel Algebraic Geometry We study the geometry of the Quot scheme $\mathrm{Quot}^l_{S}(\mathcal{E})$ of length $l$ coherent sheaf quotients of a locally free sheaf $\mathcal{E}$ on a smooth projective surface $\mathrm{S}$. In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of sheaves on $\mathrm{Quot}^l_{S}(\mathcal{E})$. |
| title | On the Quot scheme $\mathrm{Quot}^{l}_{S}(\mathcal{E})$ |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2107.03991 |