Complements on surfaces
classification
alg-geom
math.AG
keywords
surfacescomplementsadditionalgebraicapplicationsbirationalboundednessclassification
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The main result of the paper is a boundedness for $n$-complements on algebraic surfaces. In addition, applications of this theorem to a classification of log Del Pezzo surfaces and of birational contractions for 3-folds are formulated.
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