Cohomology of compactified Jacobians for locally planar integral curves
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912770658664448 |
|---|---|
| author | Shen, Junliang |
| author_facet | Shen, Junliang |
| contents | This article surveys some recent developments on the cohomology of the compactified Jacobian associated with a locally planar integral curve. Topics discussed here include the Ngô support theorem, the perverse filtration, connections to the Hilbert schemes, and cohomological structures induced by the Arinkin-Fourier-Mukai transform. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_14995 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cohomology of compactified Jacobians for locally planar integral curves Shen, Junliang Algebraic Geometry Representation Theory This article surveys some recent developments on the cohomology of the compactified Jacobian associated with a locally planar integral curve. Topics discussed here include the Ngô support theorem, the perverse filtration, connections to the Hilbert schemes, and cohomological structures induced by the Arinkin-Fourier-Mukai transform. |
| title | Cohomology of compactified Jacobians for locally planar integral curves |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2512.14995 |