Geometry of the Semigroup Z_(?0)^n and its Applications to Combinatorics, Algebra and Differential Equations

This vital contribution to the mathematical literature on combinatorics, algebra and differential equations develops two fundamental finiteness properties of the semigroup Z_(≥0)subn that elucidate key aspects of theories propounded by, among others, Hilbert and Kouchnirenko.

The authors provide explanations for numerous results in the field that appear at first glance to be unrelated. The first finiteness property relates to the fact that Z_(≥0)subn can be represented in the form of a fin...