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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…
Class of images of Abel maps on normal surface singularities
János Nagy
In this paper we investigate Abel maps on normal surface singularities described in \cite{NNI}. We investigate the affine version of the class of the images of Abel maps on normal…
The multiplicity of generic normal surface singularities
János Nagy, András Némethi
We provide combinatorial/topological formula for the multiplicity of a complex analytic normal surface singularity whenever the analytic structure on the fixed topological type is…
Cohomology of natural line bundles on generic normal surface singularities
János Nagy
Let be an arbitrary resolution graph and a generic complex analytic normal surface singularity, and a generic resolution corresponding to it. Fix…
Invariants of relatively generic surface singularities II. Images of Abel maps
János Nagy
In \cite{R} the author investigated invariants of relatively generic structures on surface singularities generalising results of \cite{NNA1} and \cite{NNA2} about generic analytic…
The dimension of the image of the Abel map associated with normal surface singularities
János Nagy, András Némethi
Let be a complex normal surface singularity with rational homology sphere link and let be one of its good resolutions. Fix an effective cycle supported…