Browsing Singularity Theory and Algebraic Geometry by Author "Némethi, A."
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The Abel map for surface singularities I. Generalities and examples
Némethi, A.; Nagy, J. (2019)Abstract. Let (X, o) be a complex normal surface singularity. We fix one of its good resolutions X → X, an effective cycle Z supported on the reduced exceptional curve, and any possible (first Chern) class l′ ∈ H 2 (X , ... 
The abel map for surface singularities II. Generic analytic structure
Nagy, J.; Némethi, A. (2019)We study the analytic and topological invariants associated with complex normal surface singularities. Our goal is to provide topological formulae for several discrete analytic invariants whenever the analytic structure ... 
Combinatorial duality for Poincaré series, polytopes and invariants of plumbed 3manifolds
László, T.; Nagy, J.; Némethi, A. (201806)Assume that the link of a complex normal surface singularity is a rational homology sphere. Then its SeibergWitten invariant can be computed as the ‘periodic constant’ of the topological multivariable Poincaré series (zeta ... 
Delta invariant of curves on rational surfaces I. An analytic approach
CogolludoAgustín, J.I.; László, T.; MartínMorales, J.; Némethi, A. (20210101)We prove that if (C, 0) is a reduced curve germ on a rational surface singularity (X, 0) then its delta invariant can be recovered by a concrete expression associated with the embedded topological type of the pair C X. ... 
On the geometry of strongly flat semigroups and their generalizations
László, T.; Némethi, A. (20180918)Our 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 ... 
Surgery formulae for the SeibergWitten invariant of plumbed 3manifolds
László, T.; Nagy, J.; Némethi, A. (201702)Assume that $M(\mathcal{T})$ is a rational homology sphere plumbed 3manifold associated with a connected negative definite graph $\mathcal{T}$. We consider the combinatorial multivariable Poincar\'e series associated ...