Bruijn, Anna de (2022) Extremal rational elliptic surfaces with semi-stable fibers. Bachelor's Thesis, Mathematics.
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Abstract
This thesis contains geometric constructions of semi-stable extremal rational elliptic surfaces over the rational numbers and a discussion of their torsion structure via examples. Moreover, it includes blow-downs of the surfaces to their minimal models in P 2 and P 1 × P 1 . The preliminaries cover topics in algebraic geometry and number theory such as blowing up at a point, the Mordell-Weil theorem and bad reduction on fibers of a rational elliptic surface.
| Item Type: | Thesis (Bachelor's Thesis) |
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| Supervisor name: | Salgado Guimaraes da Silva, C. and Top, J. |
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 17 Aug 2022 12:46 |
| Last Modified: | 20 Feb 2024 13:50 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/28230 |
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