Andr'as N'emethi

activity

20132025

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4 papers · 1 filter

math.AG2023

Filtered lattice homology of surface singularities

András Némethi

Let $(X, o)$ be a complex analytic normal surface singularity with rational homology sphere link $M$ . The `topological' lattice cohomology ${\mathbb H}^*=\oplus_{q\geq 0} {\mathbb H…

math.AG2023

Filtered lattice homology of curve singularities

András Némethi

Let $(C, o)$ be a complex analytic isolated curve singularity of arbitrary large embedded dimension. Its lattice cohomology $H^{*} = \oplus_{q \geq 0} H^{q}$ was introdu…

math.AG2023

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…

math.AG2023

Analytic lattice cohomology of isolated curve singularities

Tamás Ágoston, András Némethi

We construct a lattice cohomology $H^{*} (C, o) = \oplus_{q \geq 0} H^{q} (C, o)$ and a graded root $R (C, o)$ to any complex isolated curve singularity $(C, o)$ .…