Tropical Cubic Surfaces
- Marta Panizzut (Technical University Berlin)
Tropical varieties are special rational polyhedral complexes. They are often described as piecewise linear shadows of algebraic varieties from which they are constructed via tropicalization. This process strongly depends on the embedding of the algebraic variety in some algebraic torus. This yields different tropical models of the same variety, and therefore it is important to understand which one reproduces best the original properties. Along these lines we investigate extrinsic and intrinsic tropicalization of cubic surfaces and their 27 lines.