2024/09/26 by Abeer Al Ahmadieh, Ahmadieh, Abeer Al, May Cai +3
Computer Science · Mathematics · #Coding theory and cryptography #Wireless Communication Networks Research #Advanced Differential Equations and Dynamical Systems
paper · pdf · doi:10.48550/arxiv.2409.17462
We study real and positive tropicalizations of the varieties of low rank symmetric matrices over real or complex Puiseux series. We show that real tropicalization coincides with complex tropicalization for rank two and corank one cases. We also show that the two notions of positive tropicalization introduced by Speyer and Williams coincide for symmetric rank two matrices, but they differ for symmetric corank one matrices.