35 citations · 78 across the 11 of their papers we have counts for
5 papers · 1 filter
Amoebas and coamoebas of linear spaces
Mounir Nisse, Mikael Passare
We give a complete description of amoebas and coamoebas of -dimensional very affine linear spaces in . This include an upper bound of their dimension, and we…
Discriminant coamoebas through homology
Mikael Passare, Frank Sottile
Understanding the complement of the coamoeba of a (reduced) A-discriminant is one approach to studying the monodromy of solutions to the corresponding system of A-hypergeometric di…
On the curvature of the real amoeba
Mikael Passare, Jean-Jacques Risler
For a real smooth algebraic curve $A \subset (\mathhbb{C}^*)^2$, the amoeba is the image of under the map Log : $(x,y) \mapsto (\log |x|, \lo…
New Multiplier Sequences via Discriminant Amoebae
Mikael Passare, Boris Shapiro, J. Maurice Rojas
In their classic 1914 paper, Polya and Schur introduced and characterized two types of linear operators acting diagonally on the monomial basis of R[x], sending real-rooted polynom…
Discriminant coamoebas in dimension two
Lisa Nilsson, Mikael Passare
This paper deals with coamoebas, that is, images under coordinatewise argument mappings, of certain quite particular plane algebraic curves. These curves are the zero sets of reduc…