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Results tagged with arithmetic-geometry
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user 111491
Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
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degree five genus one curves without rational points?
Let $X$ be a smooth genus one curve over $k$. I don't call it elliptic curve because it will have no rational points.
By index of $X$ we mean the smallest degree of a closed point on $X$; equivalently …
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