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Frobenius vectors, Hilbert series and gluings

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.
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Preprints, Working Papers, ...
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Contributor : Abdallah Assi Connect in order to contact the contributor
Submitted on : Tuesday, November 12, 2013 - 9:37:59 AM
Last modification on : Wednesday, October 20, 2021 - 3:18:52 AM
Long-term archiving on: : Thursday, February 13, 2014 - 4:21:36 AM


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  • HAL Id : hal-00881276, version 1



Abdallah Assi, Pedro A. García-Sánchez, Ignacio Ojeda. Frobenius vectors, Hilbert series and gluings. 2013. ⟨hal-00881276⟩



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