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math.CO2023
Combinatorics of higher-dimensional tropical covers
Alejandro Vargas
We develop a combinatorial framework to study certain polyhedral maps which are higher-dimensional analogues of tropical covers between metric graphs. Under a mild combinatorial as…
math.AG2023
Buildings, valuated matroids, and tropical linear spaces
Luca Battistella, Kevin Kuehn, Arne Kuhrs +2
Affine Bruhat--Tits buildings are geometric spaces extracting the combinatorics of algebraic groups. The building of parametrizes flags of subspaces/lattices in or,…
math.CO2023★ 1 cited
One-quasihomomorphisms from the integers into symmetric matrices
Tim Seynnaeve, Nafie Tairi, Alejandro Vargas
A function from to the symmetric matrices over an arbitrary field of characteristic is a -quasihomomorphism if the matrix has ran…