2 problems

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The adelic amoeba half-space conjecture for lower-dimensional varieties
Let $X\subset\mathbb{G}_{\text{m}}^d$ be an irreducible variety of dimension $r$ such that its adelic amoeba $\mathscr{A}_{\mathbb{A}}(X)$ is not contained in any hyperplane. Let…
Conjectureopenadelic-amoebas non-archimedean-amoebas tropical-geometryarXiv posted 3 days ago
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Einsiedler–Kapranov–Lind conjecture on adelic amoebas and complementary halfspaces
Einsiedler–Kapranov–Lind conjecture. If ${\mathcal{A}}_\mathbb{A}(X)$ is disjoint from some codimension $r$ halfspace, then either
Conjectureopenadelic-amoebas algebraic-dynamics tropical-geometryarXiv posted 3 days ago

The adelic amoeba half-space conjecture for lower-dimensional varieties