The Phase Limit Set of a Variety
Mounir Nisse, Frank Sottile
TL;DR
This paper investigates the boundary structure of coamoebas of varieties in complex tori, relating it to their logarithmic limit sets, with detailed examples to illustrate these geometric relationships.
Contribution
It provides a detailed description of the boundary of coamoebas and connects it to the logarithmic limit set, advancing understanding of their geometric properties.
Findings
Boundary structure of coamoebas characterized
Relation established between coamoeba boundary and logarithmic limit set
Examples of lines in three-dimensional space illustrate the concepts
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.