24 citations · 45 across the 11 of their papers we have counts for
15 papers
Splice formulae for Poincaré series of integral homology spheres
Tamás László, András Némethi, György Tőtős
Let M be a plumbed integral homology sphere 3-manifold associated with a connected negative definite plumbing graph . One of its most important invariants is its multivariable P…
Representability of systems of proportionally modular numerical semigroups
Zsolt Baja, Tamás László, Zsuzsa Nagy
In this short note we prove that every system of proportionally modular numerical semigroups is representable by a canonical equivariant resolution of a weighted homogeneous surfac…
Delta invariant of -Cartier curve germs and the genus of representable numerical semigroups
Zsolt Baja, Tamás László, András Némethi
In this article, first we give two formulae for the delta invariant of a complex curve singularity that can be embedded as a -Cartier divisor in a normal surface singu…
Multiplier ideals of normal surface singularities
László Koltai, Tamás László, András Némethi
We study the multiplier ideals and the corresponding jumping numbers and multiplicities in the following context: is a complex analytic normal…
Flat semigroups and weighted homogeneous surface singularities
Zsolt Baja, Tamás László
We consider numerical semigroups associated with normal weighted homogeneous surface singularities with rational homology sphere links. We say that a semigroup is representable if…
On a canonical polynomial for links of elliptic singularities
Tamás László
The canonical polynomial is an important output of the multivariable topological Poincaré series associated with a normal surface singularity. It can be considered as a multivariab…
Brill-Noether problem on splice quotient singularities and duality of topological Poincaré series
Tamás László, János Nagy
In this manuscript we investigate the analouge of the Brill-Noether problem for smooth curves in the case of normal surface singularities. We determine the maximal possible value o…
Local invariants of minimal generic curves on rational surfaces
José Ignacio Cogolludo-Agustín, Tamás László, Jorge Martín-Morales +1
Let (C,0) be a reduced curve germ in a normal surface singularity (X,0). The main goal is to recover the delta invariant of the abstract curve (C,0) from the topology of the embedd…
The delta invariant of curves on rational surfaces II: Poincaré series and topological aspects
José Ignacio Cogolludo-Agustín, Tamás László, Jorge Martín-Morales +1
In this article we study abstract and embedded invariants of reduced curve germs via topological techniques. One of the most important numerical analytic invariants of an abstract…
Delta invariant of curves on rational surfaces I. The analytic approach
José Ignacio Cogolludo-Agustín, Tamás László, Jorge Martín-Morales +1
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 embedd…
On the geometry of strongly flat semigroups and their generalizations
Tamás László, András Némethi
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 ve…
On Poincaré series associated with links of normal surface singularities
Tamás László, Zsolt Szilágyi
We study the counting function of topological Poincaré series associated with rational homology sphere plumbed 3-manifold with connected negative definite tree, interpreting as an…
Lattice cohomology and Seiberg-Witten invariants of normal surface singularities
Tamás László
One of the main questions in the theory of normal surface singularities is to understand the relations between their geometry and topology. The lattice cohomology is an important t…
Reduction theorem for lattice cohomology
Tamás László, András Némethi
The lattice cohomology of a plumbed 3--manifold associated with a connected negative definite plumbing graph is an important tool in the study of topological properties of ,…
Ehrhart theory of polytopes and Seiberg-Witten invariants of plumbed 3-manifolds
András Némethi, Tamás László
Let M be a rational homology sphere plumbed 3-manifold associated with a connected negative definite plumbing graph. We show that its Seiberg-Witten invariants equal certain coeffi…