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+34 946 567 842
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+34 946 567 842
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anemethi@bcamath.org
Information of interest
 Orcid: 0000000341159643
I am Professor at the MTA Rényi Institute of Mathematics and at the ELTE University Budapest, Hungary.
My research concentrates mainly on the theory of singularities of complex algebraic or analytic varieties. Recently I made progress in the theory the normal surface singularities connecting their analytical and topological invariants using the machinery of lowdimensional topology as well.

Delta invariant of curves on rational surfaces I. An analytic approach
(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. ...

The Abel map for surface singularities III: Elliptic germs
(20210101)The present note is part of a series of articles targeting the theory of Abel maps associated with complex normal surface singularities with rational homology sphere links (Nagy and Némethi in Math Annal 375(3):1427–1487, ...

Polar exploration of complex surface germs
(2021)We prove that the topological type of a normal surface singularity pX, 0q provides finite bounds for the multiplicity and polar multiplicity of pX, 0q, as well as for the combinatorics of the families of generic hyperplane ...

The abel map for surface singularities II. Generic analytic structure
(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 ...

The Abel map for surface singularities I. Generalities and examples
(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 dimension of the image of the Abel map associated with normal surface singularities
(2019)Let (X, o) be a complex normal surface singularity with rational homology sphere link and let Xe be one of its good resolutions. Fix an effective cycle Z supported on the exceptional curve and also a possible Chern class ...

On the geometry of strongly flat semigroups and their generalizations
(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 ...

Combinatorial duality for Poincaré series, polytopes and invariants of plumbed 3manifolds
(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 ...

Surgery formulae for the SeibergWitten invariant of plumbed 3manifolds
(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 ...