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I encountered the following object in $\mathbb{C}^3$ defined for $m\in\mathbb{N}$ by $$A_m:=\lbrace (z_1,z_2,z_3)\in\mathbb{C}^3|(2^{2z_3}m-1)2^{2z_1+z_2+1}+3^{z_2-1}(2^{2z_1}-2^2-3^{z_3+1}m)=0\rbrace$...

I am aware that algebraically, there is no real distinction between the tropical semirings $A = (\mathbb{R} \cup \{ \infty \}, \text{min}, \infty, +, 0)$ $B = (\mathbb{R} \cup \{ - \infty \}, \text{...

I'm a beginner in tropical geometry, and I'm running into the following question: In the usual polynomial ring over a field, one has algorithms (i.e. using a Groebner basis) for determining whether ...