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arXiv · 1405.4900

Higher convexity of coamoeba complements

Mounir Nisse·Frank Sottile
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Abstract

We show that the complement of the coamoeba of a variety of codimension k+1 is k-convex, in the sense of Gromov and Henriques. This generalizes a result of Nisse for hypersurface coamoebas. We use this to show that the complement of the nonarchimedean coamoeba of a variety of codimension k+1 is k-convex.

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Mounir Nisse, Frank Sottile. 2014-05-19. Higher convexity of coamoeba complements. https://arxiv.org/abs/1405.4900

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