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Extremal rational elliptic surfaces with semi-stable fibers

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)
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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