Persistent URL of this record https://hdl.handle.net/1887/3216956
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- Title Pages_Contents
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- Introduction
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- Chapter 1
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- Full text at publishers site
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- Bibliography
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- Summary in English
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- Summary in Dutch
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- Summary in Italian
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- Acknowledgements_Curriculum Vitae
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- Propositions
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In Collections
This item can be found in the following collections:
Geometric quadratic chabauty and other topics in number theory
The first part describes a generalization of the Chabauty's method, that can be used to determine the rational points of a curve such that s+g>r+1, where g is the genusof the curve, r is the rank of the Mordell-Weil group of the jacobian of the curve and s is the rank of the Neron-severi of the jacobian of the curve.
The second part proves that for all but a finite number of Cartan modular curves, the automorphisms are only the "expected" ones.
The last part describes an algorithm that solves in quasi-polynomial time the discrete logarithm problem in all finite fields whose characteristic is "small" with respect to the cardinality.
- All authors
- Lido, G.M.
- Supervisor
- Edixhoven, S.J.; Schoof, R.
- Committee
- Duijn Schouten, F.A. van der; Stevenhagen, P.; Lombardo, D.; Rebolledo, M.; Stoll, M.
- Qualification
- Doctor (dr.)
- Awarding Institution
- Mathematical Institute (MI) , Faculty of Science , Leiden University
- Date
- 2021-10-12