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Results tagged with arithmetic-geometry
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user 73467
Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
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Order of vanishing of an integer polynomial at a point
Over $\mathbf{Q}$ you can argue as follows.
Case I. $a$ is the unique point where $f$ vanishes to high order. Then $a$ is invariant under $\text{Aut}(\mathbf{C})$ and hence defined over $\mathbf{Q}$ …
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