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Oberseminar SoSe 2011 Zusammenfassung des Vortrags von Xenia Bogomolec

Algorithmic normalization of arithmetic surfaces

Lipman's algorithmic proof for the desingularization of two-dimensional excellent reduced Noetherian schemes is the motivation to develop effective algorithms for the normalization of arithmetic surfaces. First I will introduce the objects and the theory of algorithmic normalization and then I will present two different approaches for its realization.