Tropicalization and irreducibility of Generalized Vandermonde Determinants
Commutative Algebra
2009-10-30 v2 Algebraic Geometry
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.
Cite
@article{arxiv.0803.2166,
title = {Tropicalization and irreducibility of Generalized Vandermonde Determinants},
author = {Carlos D'Andrea and Luis Felipe Tabera},
journal= {arXiv preprint arXiv:0803.2166},
year = {2009}
}
Comments
10 pages, AMSart. Revised version to appear in Proceedings of the AMS