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dc.contributor.authorLászló, T.
dc.contributor.authorNémethi, A.
dc.description.abstractOur goal is to convince the readers that the theory of complex normal surface singularities can be a powerful tool in the study of numerical semigroups, and, in the same time, a very rich source of interesting affine and numerical semigroups. More precisely, we prove that the strongly flat semigroups, which satisfy the maximality property with respect to the Diophantine Frobenius problem, are exactly the numerical semigroups associated with negative de nite Seifert homology spheres via the possible `weights' of the generic $S^1$-orbit. Furthermore, we consider their generalization to the Seifert rational homology sphere case and prove an explicit (up to a Laufer computation sequence) formula for their Frobenius number. The singularities behind are the weighted homogeneous ones, whose several topological and analytical properties are exploited.en_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.subjectnumerical semigroupen_US
dc.subjectstrongly flat semigroupen_US
dc.subjectsurface singularityen_US
dc.subjectweighted homogeneous singularityen_US
dc.subjectrational homology sphereen_US
dc.subjectSeifert 3-manifolden_US
dc.subjectresolution graphen_US
dc.subjectLipman coneen_US
dc.titleOn the geometry of strongly flat semigroups and their generalizationsen_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2014-2017en_US

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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España