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Results tagged with arithmetic-geometry
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user 78330
Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
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Equations for Elliptic Curves
An elliptic curve $C$ over a field $k$ is a smooth, genus 1 curve defined over $k$ with an associated $k$-rational point. If char$(k) \ne 2$, we can show that $C$ has a model of the form $y^2 = f(x)$ …
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