11 papers
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…
Cohen-Macaulay Type via Lattice Homology and the Motivic Poincaré Series
Alex Hof, András Némethi
We give results on reduced complex-analytic curve germs which relate their indecomposable maximal Cohen-Macaulay (MCM) modules to their lattice homology groups and related invarian…
Invariants of Plumbed Manifolds
Shimal Harichurn, András Némethi, Josef Svoboda
We study the minimal -exponent in the BPS -series of negative definite plumbed 3-manifolds equipped with a spin-structure. We express of Seife…
Ordinary --tuples in cyclic quotient surface singularities
José I. Cogolludo-Agustín, Tamás Lászlo, Jorge Martín-Morales +1
We describe those Weil divisors of cyclic quotient surface singularities which are (abstract) --tuple curve singularities.
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…
Filtrations associated with singularities
András Némethi, Willem Veys
We fix a complex analytic normal singularity germ of dimension and a (not necessarily irreducible) reduced Weil divisor . The embedded resoluti…
Filtered lattice homology of surface singularities
András Némethi
Let be a complex analytic normal surface singularity with rational homology sphere link . The `topological' lattice cohomology ${\mathbb H}^*=\oplus_{q\geq 0} {\mathbb H…
Filtered lattice homology of curve singularities
András Némethi
Let be a complex analytic isolated curve singularity of arbitrary large embedded dimension. Its lattice cohomology was introdu…
The classification of reflexive modules of rank one over rational and minimally elliptic singularities
András Némethi, Agustín Romano-Velázquez
We classify the reflexive modules of rank one over rational and minimally elliptic singularities. Equivalently, we classify full line bundles on the resolutions of rational and min…
Analytic lattice cohomology of isolated curve singularities
Tamás Ágoston, András Némethi
We construct a lattice cohomology and a graded root to any complex isolated curve singularity .…
Links of singularities up to regular homotopy
Atsuko Katanaga, András Némethi, András Szűcs
The abstract link L_d of the complex isolated singularity x^2 + y^2 + z^2 + v^{2d} = 0 is diffeomorphic to S^3 \times S^2. We classify the embedded links of these singularities up…