Tropical Geometry
Combinatorial shadows of algebraic varieties via the min-plus semiring.
Tropical Geometry. Combinatorial shadows of algebraic varieties via the min-plus semiring.
Foundations and canonical references
The standard treatments of tropical geometry approach the subject from complementary angles. Maclagan, Introduction to Tropical Geometry (2015) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for tropical geometry include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2015Introduction to Tropical Geometrymaclagan-2015, sturmfels-2015
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