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Results tagged with arithmetic-geometry
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user 526087
Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
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Finding rational points on intersection of quadrics in affine 3-space
The closure in $\mathbb{P}^3$ of the intersection of your two quadrics is a smooth curve of genus $1$. If it has a rational point, it acquires the structure of an elliptic curve, and we know that dete …
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