Carter, Philip Joshua
(2020)
On the Resolution of Foliation Singularities via Jet Schemes.
PhD thesis, University of Liverpool.
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Abstract
We aim to contribute to the problem of finding desingularisations of codimension-1 holomorphic foliations in arbitrary ambient dimension. To this end, we prove an alternate characterisation of simple singularities, which leads to an equivalent condition for the existence of a desingularisation in the non-dicritical case. We then give some results and conjectures to show when this condition is satisfied.
| Item Type: | Thesis (PhD) |
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| Divisions: | Faculty of Science and Engineering > School of Physical Sciences |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 08 Mar 2021 15:38 |
| Last Modified: | 18 Jan 2023 22:57 |
| DOI: | 10.17638/03116466 |
| Supervisors: |
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| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3116466 |
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