dc.contributor.advisor |
Andrist, Rafael |
dc.contributor.author |
Ashkarian, Estepan |
dc.date.accessioned |
2022-05-18T05:54:04Z |
dc.date.available |
2022-05-18T05:54:04Z |
dc.date.issued |
5/18/2022 |
dc.date.submitted |
5/10/2022 |
dc.identifier.uri |
http://hdl.handle.net/10938/23418 |
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.language.iso |
en |
dc.title |
Integrable Generators of Lie Algebras of Vector Fields on the Koras--Russell Cubic Threefold |
dc.type |
Dissertation |
dc.contributor.department |
Department of Mathematics |
dc.contributor.faculty |
Faculty of Arts and Sciences |
dc.contributor.institution |
American University of Beirut |
dc.contributor.commembers |
Makdisi-Khuri, Kamal |
dc.contributor.commembers |
Sala, Giuseppe Della |