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Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
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Accepted
Algebraic varieties in "mixed" affine spaces
The product of Weil restrictions $P = \prod_{i=1}^n {\rm{R}}_{F_i/K}(\mathbf{A}^1_{F_i})$ is naturally a closed subscheme of the direct product $\prod_{i=1}^n {\rm{R}}_{L/K}(\mathbf{A}^1_L) = {\rm{R}} …