Pluricanonical maps of stable log surfaces |
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Authors: | Wenfei Liu Sönke Rollenske |
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Institution: | 1. Institut für algebraische Geometrie, Gottfried Wilhelm Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany;2. Fakultät für Mathematik, Universtät Bielefeld, Universitätsstr. 25, 33615 Bielefeld, Germany |
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Abstract: | Stable surfaces and their log analogues are the type of varieties naturally occurring as boundary points in moduli spaces. We extend classical results of Kodaira and Bombieri to this more general setting: if (X,Δ) is a stable log surface with reduced boundary (possibly empty) and I is its global index, then 4I(KX+Δ) is base-point-free and 8I(KX+Δ) is very ample. |
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Keywords: | 14J10 14C20 |
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