2 papers
cs.SC2025
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.SC2025
Hypergeometric Solutions of Linear Difference Systems
Moulay Barkatou, Mark van Hoeij, Johannes Middeke +1
We extend PetkovÅ¡ek's algorithm for computing hypergeometric solutions of scalar difference equations to the case of difference systems , with $M \in {\rm GL}_n(C(x))…