The dictionary between algebraic geometry and the combinatorics of graphs and polyhedra. KU Leuven
Algebraic geometry is the branch of mathematics studying sets of solutions to systems of polynomial equations, which pop up in a variety of research fields, ranging over pure mathematics, hard-core engineering (robotics), molecular biology, information technology, and theoretical physics. In studying such sets, a tool of emerging importance is the analysis of certain of their combinatorial `shadows', that typically appear in the form of ...