Deformations of pullback foliations
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866910766141014016 |
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| author | Perrella, Pablo |
| author_facet | Perrella, Pablo |
| contents | We study the stability of pullback foliations under morphisms and rational maps via Grothendieck's Drapeaux scheme. In the local setting, a foliated version of Schlessinger's Theorem on rigidity of conical singularities was achieved. We apply these techniques to provide a criterion for the stability of algebraic leaves of a foliation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19968 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deformations of pullback foliations Perrella, Pablo Algebraic Geometry 14D15, 32S65, 37F75, 32M25 We study the stability of pullback foliations under morphisms and rational maps via Grothendieck's Drapeaux scheme. In the local setting, a foliated version of Schlessinger's Theorem on rigidity of conical singularities was achieved. We apply these techniques to provide a criterion for the stability of algebraic leaves of a foliation. |
| title | Deformations of pullback foliations |
| topic | Algebraic Geometry 14D15, 32S65, 37F75, 32M25 |
| url | https://arxiv.org/abs/2412.19968 |