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1 LAREMA - Laboratoire Angevin de REcherche en MAthématiques 2 Departamento de Algebra 3 Departamento de Matemáticas, Universidad de Extremadura Departamento de Matemáticas

Abstract : Let S 1 and S 2 be two affine semigroups and let S be the gluing of S 1 and S 2. Several invariants of S are then related to those of S 1 and S 2; we review some of the most important properties preserved under gluings. The aim of this paper is to prove that this is the case for the Frobenius vector and the Hilbert series. Applications to complete intersection affine semigroups are also given.

Keywords : Affine semigroup gluing Frobenius vector Hilbert series

Author: Abdallah Assi - Pedro A. García-Sánchez - Ignacio Ojeda -



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