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math.AG2016
Puiseux Parametric Equations via the Amoeba of the Discriminant
Fuensanta Aroca, Víctor Manuel Saavedra
Given an algebraic variety we get Puiseux type parametrizations on suitable Reinhardt domains. These domains are defined using the amoeba of hypersurfaces containing the discrimina…
math.AG2012★ 1 cited
Torical Modification of Newton non-degenerate ideals
Fuensanta Aroca, Mirna Gómez-Morales, Khurram Shabbir
We give a definition of Newton non degeneracy independent of the system of generators defining the variety. This definition extends the notion of Newton non degeneracy to varieties…
math.AG2009★ 2 cited
Krull-tropical hypersurfaces
Fuensanta Aroca
The concepts of tropical-semiring and tropical hypersurface, are extended for an arbitrary ordered group. Then, we define the tropicalization of a polynomial with coefficients in a…