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math.AG2023
Geometric interpretation of valuated term (pre)orders
Netanel Friedenberg, Kalina Mincheva
Valuated term orders are studied for the purposes of Gröbner theory over fields with valuation. The points of a usual tropical variety correspond to certain valuated terms preorder…
math.AG2023
A construction of algebraizable formal models
Desmond Coles, Netanel Friedenberg
Let be a variety over a complete nontrivially valued field . We construct an algebraizable formal model for the analytification of in the case admits a closed embedd…
math.CO2023
Locally finite completions of polyhedral complexes
Desmond Coles, Netanel Friedenberg
We develop a method for subdividing polyhedral complexes in a way that restricts the possible recession cones and allows one to work with a fixed class of polyhedron. We use these…