24 citations · 45 across the 11 of their papers we have counts for
8 papers · 1 filter
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…
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…
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…
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…