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math.AC2008★ 4 cited
Constructive proof of extended Kapranov theorem
Luis Felipe Tabera
Kapranov Theorem is a well known generalization of Newton-Puiseux theorem for the case of several variables. This theorem is stated mainly in the context of tropical geometry. We p…
math.AC2008★ 8 cited
Tropicalization and irreducibility of Generalized Vandermonde Determinants
Carlos D'Andrea, Luis Felipe Tabera
We find geometric and arithmetic conditions in order to characterize the irreducibility of the determinant of the generic Vandermonde matrix over the algebraic closure of any field…