11 search results for “jacobians” in the Public website
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Néron models in high dimension: nodal curves, Jacobians and tame base change
We describe certain birational modifications of nodal relative curves over a regular base of arbitrary dimension.
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Split Jacobians and Lower Bounds on Heights
This thesis deals with properties of Jacobians of genus two curves that cover elliptic curves.
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Inverse Jacobian and related topics for certain superelliptic curves
To an algebraic curve C over the complex numbers one can associate a non-negative integer g, the genus, as a measure of its complexity.
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Models of curves: The Birch and Swinnerton-Dyer conjecture & ordinary reduction
Chapter 1,contains the numerical verification of the Birch and Swinnerton-Dyer conjecture for hundreds of Jacobians of hyperelliptic curves of genus 2, 3, 4 and 5.
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Geometric quadratic Chabauty and other topics in number theory
This thesis is is made of three parts. 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…
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Split Jacobians and Lower Bounds on Heights
PhD Defence
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Inverse Jacobian and related topics for certain superelliptic curves
PhD Defence
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Modular curves, Arakelov theory, algorithmic applications
Promotor: S.J. Edixhoven, Co-promotor: R.S. de Jong
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Néron models in high dimension: nodal curves, Jacobians and tame base change
PhD Defence
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Workshop on Algorithms in Number Theory and Arithmetic Geometry
Conference
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Theses
Full texts of all bachelor, master and PhD theses are available on this site