Integrable Generators of Lie Algebras of Vector Fields on the Koras--Russell Cubic Threefold
| dc.contributor.advisor | Andrist, Rafael | |
| dc.contributor.author | Ashkarian, Estepan | |
| dc.contributor.commembers | Makdisi-Khuri, Kamal | |
| dc.contributor.commembers | Sala, Giuseppe Della | |
| dc.contributor.department | Department of Mathematics | |
| dc.contributor.faculty | Faculty of Arts and Sciences | |
| dc.contributor.institution | American University of Beirut | |
| dc.date | 2022 | |
| dc.date.accessioned | 2022-05-18T05:54:04Z | |
| dc.date.available | 2022-05-18T05:54:04Z | |
| dc.date.issued | 2022-05-17T21:00:00Z | |
| dc.date.submitted | 2022-05-09T21:00:00Z | |
| dc.description.abstract | The Koras--Russell cubic threefold is a complex-affine manifold that is diffeomorphic to the three-dimensional complex-Euclidean space, but not algebraically isomorphic to the three-dimensional complex-affine space as an affine variety. We study the Lie algebra of polynomial vector fields on the Koras--Russell cubic threefold; We prove that the compositions of the flows of a list of complete vector fields approximate every holomorphic automorphism that is in the path-connected component of the identity. | |
| dc.identifier.uri | http://hdl.handle.net/10938/23418 | |
| dc.language.iso | en | |
| dc.title | Integrable Generators of Lie Algebras of Vector Fields on the Koras--Russell Cubic Threefold | |
| dc.type | Dissertation |