Higher convexity of coamoeba complements Institutional Repository Document uri icon

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.

author list (cited authors)

  • Nisse, M., & Sottile, F.

complete list of authors

  • Nisse, Mounir||Sottile, Frank

Book Title

  • arXiv

publication date

  • May 2014