The aim of this manuscript is to give some basic notions related to numerical semigroups, and from these, on the one hand, describe a classical application to the study of singularities of plane algebraic curves, and on the other, show how numerical semigroups can be used to obtain handy examples of nonunique factorization invariants. Supplementary material, examples, jupyter notebooks and tutorials are available at: https://github.com/numerical-semigroups.

Numerical Semigroups and Applications

Marco D'Anna;
2020-01-01

Abstract

The aim of this manuscript is to give some basic notions related to numerical semigroups, and from these, on the one hand, describe a classical application to the study of singularities of plane algebraic curves, and on the other, show how numerical semigroups can be used to obtain handy examples of nonunique factorization invariants. Supplementary material, examples, jupyter notebooks and tutorials are available at: https://github.com/numerical-semigroups.
2020
978-3-030-54942-8
AG codes
Nonunique factorization invariants
Numerical semigroups
Algebraic curves
Combinatorics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/487556
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