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Oberseminar SoSe 2012 Zusammenfassung des Vortrags von Sönke Rollenske (Bielefeld)

Pluricanonical maps of stable surfaces

In perfect analogy to the case of curves, stable surfaces can be defined as the class of surfaces needed for a modular compactification of the moduli space of surfaces of general type (with canonical singularities).

I will report on work in progress, joint with Wenfei Liu, where we try to answer some basic questions about pluricanonical maps of stable surfaces, for example, which multiple of the canonical divisor is basepointfree resp. very ample.