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Gr{ö}bner bases over polytopal affinoid algebras
Moulay A. Barkatou, Lucas Legrand, Tristan Vaccon
Polyhedral affinoid algebras have been introduced by Einsiedler, Kapranov and Lind to connect rigid analytic geometry (analytic geometry over non-archimedean fields) and tropical g…
cs.SC2024★ 3 cited
Universal Analytic Gr{ö}bner Bases and Tropical Geometry
Tristan Vaccon, Thibaut Verron
A universal analytic Gr{ö}bner basis (UAGB) of an ideal of a Tate algebra is a set containing a local Gr{ö}bner basis for all suitable convergence radii. In a previous article, the…