Tropicalization and irreducibility of generalized Vandermonde determinants

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Title:	Tropicalization and irreducibility of generalized Vandermonde determinants
Author:	D'Andrea, Carlos, 1973-; Tabera, Luis Felipe
Other authors:	Universitat de Barcelona
Abstract:	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 k. We also characterize those determinants whose tropicalization with respect to the variables of a row is irreducible.
Subject(s):	-Polinomis -Geometria algebraica -Polynomials -Algebraic geometry
Rights:	(c) American Mathematical Society (AMS), 2009
Document type:	Article Article - Published version
Published by:	American Mathematical Society (AMS)
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