Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11008024 | Journal of Symbolic Computation | 2019 | 19 Pages |
Abstract
We show that the connected components of the complement of the closure of the imaginary projections are convex, thus opening a central connection to the theory of amoebas and coamoebas. Building upon this, the paper establishes structural properties of the components of the complement, such as lower bounds on their maximal number, proves a complete classification of the imaginary projections of quadratic polynomials and characterizes the limit directions for polynomials of arbitrary degree.
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Authors
Thorsten Jörgens, Thorsten Theobald, Timo de Wolff,