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20232025
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7 papers · 1 filter

math.AG2025

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…

math.AG2025

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…

math.AG2024

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.

math.AG2024

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…

math.AG2024

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…

math.AG2023

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…