Newton polytopes and tropical geometry
B. Ya. Kazarnovskii, Askold Georgievich Khovanskii, Alexander Isaakovich Esterov · Russian Mathematical Surveys · 2021
Abstract The practice of bringing together the concepts of ‘Newton polytopes’, ‘toric varieties’, ‘tropical geometry’, and ‘Gröbner bases’ has led to the formation of stable and mutually beneficial connections between algebraic geometry and convex geometry. This survey is devoted to the current state of the area of mathematics that describes the interaction and applications of these concepts. Bibliography: 68 titles.