Jets of flat partial connections II
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909791897518080 |
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| author | Fazoli, Gabriel |
| author_facet | Fazoli, Gabriel |
| contents | We define and study jets of flat partial connections with respect to singular foliations. In particular, we use the first sheaf of transverse jets to address the problem of extending a flat partial connection to a (flat) meromorphic connection. We then apply our results on the extension problem to classical problems in foliation theory, such as the existence of transversely affine structures and invariant hypersurfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_13510 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Jets of flat partial connections II Fazoli, Gabriel Complex Variables Algebraic Geometry 32M10, 32M25, 53C12, 53C30 We define and study jets of flat partial connections with respect to singular foliations. In particular, we use the first sheaf of transverse jets to address the problem of extending a flat partial connection to a (flat) meromorphic connection. We then apply our results on the extension problem to classical problems in foliation theory, such as the existence of transversely affine structures and invariant hypersurfaces. |
| title | Jets of flat partial connections II |
| topic | Complex Variables Algebraic Geometry 32M10, 32M25, 53C12, 53C30 |
| url | https://arxiv.org/abs/2509.13510 |