This book is an extended and revised version of Numerical Semigroups with Applications published by Springer as part of the RSME series Like the first edition it presents applications of numerical semigroups in Algebraic Geometry Number Theory and Coding Theory It starts by discussing the basic notions related to numerical semigroups and those needed to understand semigroups associated with irreducible meromorphic series It then derives a series of applications in curves and factorization invariants A new chapter is included which offers a detailed review of ideals for numerical semigroups Based on this new chapter descriptions of the module of Kahler differentials for an algebroid curve and for a polynomial curve are provided Moreover the concept of tame degree has been included and is viewed in relation to other factorization invariants appearing in the first edition This content highlights new applications of numerical semigroups and their ideals following in the spirit of the first edition

Numerical Semigroups and Applications (RSME Springer Series Book 1) PDF

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