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Seminar on Algebraic Geometry

Tuesday, 16.10. 10:00
Seminar room Altenbergerstrasse 50

Tobias Beck
Algorithmic Aspects of the Theorem of Jung-Abhyankar

The Theorem of Jung-Abyankar makes a statement about the solvability of a formal (analytic) equation in the domain of formal (convergent) multivariate power series. Incorporating the Duval Trick, one can extract the maximal amount of geometric information from these solutions. We show how to do this algorithmically and how to apply the result to resolve toroidal surface singularities.