The Gauss-Manin system of an ICIS
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908421187436544 |
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| author | Blanco, Guillem |
| author_facet | Blanco, Guillem |
| contents | For an isolated complete intersection singularity (ICIS), we define and study its Gauss-Manin system and its associated Hodge filtration. We show the relation between the Hodge filtration and a generalized Brieskorn lattice and study conditions for the existence of a microlocal structure. Using these ideas, we relate the residue on the saturated Brieskorn lattice with a $b$-function introduced by Torrelli. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_20280 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Gauss-Manin system of an ICIS Blanco, Guillem Algebraic Geometry For an isolated complete intersection singularity (ICIS), we define and study its Gauss-Manin system and its associated Hodge filtration. We show the relation between the Hodge filtration and a generalized Brieskorn lattice and study conditions for the existence of a microlocal structure. Using these ideas, we relate the residue on the saturated Brieskorn lattice with a $b$-function introduced by Torrelli. |
| title | The Gauss-Manin system of an ICIS |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2506.20280 |