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Table of Contents
Preface; Acknowledgments; Contents; 1 Numerical Semigroups, the Basics; 1.1 Notable Elements; 1.2 Numerical Semigroups with Maximal Embedding Dimension; 1.3 Special Gaps and Unitary Extensions of a Numerical Semigroup; 2 Irreducible Numerical Semigroups; 2.1 Characterizations of Irreducible Numerical Semigroups; 2.2 Decomposition of a Numerical Semigroup into Irreducible Semigroups; 2.3 Free Numerical Semigroups; 3 Semigroup of an Irreducible Meromorphic Series; 3.1 Some Notation; 3.2 Characteristic Sequences; 3.3 Contact; 3.4 The Local Case
3.5 The Case of Curves with One Place at Infinity4 Minimal Presentations; 4.1 Generators and Relations; 4.2 Free Numerical Semigroups; 4.3 Graphs of Factorizations and Minimal Presentations; 4.4 Presentations and Binomial Ideals; 4.5 Shaded Sets and Generating Functions; 5 Factorizations and Divisibility; 5.1 Length-Based Invariants; 5.2 Distance-Based Invariants; 5.3 How Far Is an Irreducible from Being Prime; 5.4 Divisors and Feng
Rao Distances; References; Index
3.5 The Case of Curves with One Place at Infinity4 Minimal Presentations; 4.1 Generators and Relations; 4.2 Free Numerical Semigroups; 4.3 Graphs of Factorizations and Minimal Presentations; 4.4 Presentations and Binomial Ideals; 4.5 Shaded Sets and Generating Functions; 5 Factorizations and Divisibility; 5.1 Length-Based Invariants; 5.2 Distance-Based Invariants; 5.3 How Far Is an Irreducible from Being Prime; 5.4 Divisors and Feng
Rao Distances; References; Index