5 problems

Let $p$ be a polynomial in $n$ variables, and let its coamoeba be the set determined by the phases of the points of its complex variety. Coamoeba component-count conjecture. The co…

Phase limit set conjecture. The closure of the discriminant coamoeba equals the phase limit set:

Let $X$ be a simplicial real algebraic hypersurface. Write ${\mathbb C}X$ for its complex part and ${\mathcal C}_X$ for its coamoeba; complex conjugation induces maps $c_*$ on the…

Let $A$ be the finite support of a Laurent polynomial $f$ and let $\boldsymbol{T}^n$ be the real $n$-torus. The coamoeba $\mathcal{C}_f$ is the image of the zero set of $f$ in…

Let $A$ be a maximally sparse configuration, and consider the closed coamoeba associated with $A$ and coefficients of its defining polynomial. Passare's conjecture. The maximal num…