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| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA564.SPR FCT 96906 (Browse shelf) | 1 | Available |
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| QA564.SPR FCT 96652 Beauville surfaces and groups | QA564.SPR FCT 96732 Period mappings with applications to symplectic complex spaces | QA564.SPR FCT 96739 The Grassmannian variety | QA564.SPR FCT 96906 Numerical semigroups and applications | QA564.SPR FCT 96987 Optimization of polynomials in non-commuting variables | QA564.SPR FCT 97030 Introduction to the theory of standard monomials | QA564.SPR FCT 97085 Geometric procedures for civil engineers |
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This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory. Background on numerical semigroups is presented in the first two chapters, which introduce basic notation and fundamental concepts and irreducible numerical semigroups. The focus is in particular on free semigroups, which are irreducible; semigroups associated with planar curves are of this kind. The authors also introduce semigroups associated with irreducible meromorphic series, and show how these are used in order to present the properties of planar curves. Invariants of non-unique factorizations for numerical semigroups are also studied. These invariants are computationally accessible in this setting, and thus this monograph can be used as an introduction to Factorization Theory. Since factorizations and divisibility are strongly connected, the authors show some applications to AG Codes in the final section. The book will be of value for undergraduate students (especially those at a higher level) and also for researchers wishing to focus on the state of art in numerical semigroups research.
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