University of Budapest (ELTE), Hungary
Date(s) : 21/01/2021 iCal
14 h 00 min - 15 h 00 min
We fix a topological type of a complex analytic normal surface singularity, and will assume that the corresponding link (as oriented compact 3-manifold) is a rational homology sphere (equivalently, the resolution graph is a tree of rational vertices). This topological type might support several rather different analytic structures, in this talk we will consider a generic one (in the sense of Laufer).
One can expect that several discrete analytic invariants can be read concretely from the resolution graph: we will present such topological characterizations for the geometric genus, for cohomology groups of certain (natural) line bundles, analytic semigroup, maximal ideal cycle, multiplicity.
The work is part a joint work and project with Janos Nagy. The main tool is the generalization of the Abel map to the case of normal surfacesingularities.