The phase limit set of a variety

Mounir Nisse; Frank Sottile

doi:10.2140/ant.2013.7.339

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Home > Journals > Algebra Number Theory > Volume 7 > Issue 2 > Article

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

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Abstract

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.