Higher convexity of coamoeba complements Academic Article

abstract

• 2015 London Mathematical Society. We show that the complement of the closure of the coamoeba of a variety of codimension k + 1 is +-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 +-convex.

authors

• Sottile, Frank

published proceedings

• Bulletin of the London Mathematical Society

author list (cited authors)

• Nisse, M., & Sottile, F.

citation count

• 1

complete list of authors

• Nisse, Mounir||Sottile, Frank

publication date

• October 2015

publisher

• Wiley  Publisher

published in

• Bulletin of the London Mathematical Society  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1112/blms/bdv059

start page

• 853

end page

• 865

volume

• 47

issue

• 5

URL

• http://dx.doi.org/10.1112/blms/bdv059