On the D-module of an isolated singularity
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917967366717440 |
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| author | Bitoun, Thomas |
| author_facet | Bitoun, Thomas |
| contents | Let Z be the germ of a complex hypersurface isolated singularity of equation f, with Z at least of dimension 2. We consider the family of analytic D-modules generated by the powers of 1/f and describe it in terms of the pole order filtration on the de Rham cohomology of the complement of {f=0} in the neighborhood of the singularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_00120 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the D-module of an isolated singularity Bitoun, Thomas Algebraic Geometry Rings and Algebras Let Z be the germ of a complex hypersurface isolated singularity of equation f, with Z at least of dimension 2. We consider the family of analytic D-modules generated by the powers of 1/f and describe it in terms of the pole order filtration on the de Rham cohomology of the complement of {f=0} in the neighborhood of the singularity. |
| title | On the D-module of an isolated singularity |
| topic | Algebraic Geometry Rings and Algebras |
| url | https://arxiv.org/abs/2307.00120 |