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2013 The phase limit set of a variety
Mounir Nisse, Frank Sottile
Algebra Number Theory 7(2): 339-352 (2013). DOI: 10.2140/ant.2013.7.339


A coamoeba is the image of a subvariety of a complex torus under the argument map to the real torus. We describe the structure of the boundary of the coamoeba of a variety, which we relate to its logarithmic limit set. Detailed examples of lines in three-dimensional space illustrate and motivate these results.


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Mounir Nisse. Frank Sottile. "The phase limit set of a variety." Algebra Number Theory 7 (2) 339 - 352, 2013.


Received: 7 June 2011; Revised: 14 February 2012; Accepted: 16 March 2012; Published: 2013
First available in Project Euclid: 20 December 2017

zbMATH: 1277.14048
MathSciNet: MR3123641
Digital Object Identifier: 10.2140/ant.2013.7.339

Primary: 14T05
Secondary: 32A60

Keywords: amoeba , coamoeba , initial ideal , toric variety tropical geometry

Rights: Copyright © 2013 Mathematical Sciences Publishers

Vol.7 • No. 2 • 2013
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