On toroidal embeddings of 3-folds

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Using combinatorial methods, we classify all birational morphisms blowing m ≦ 5 divisors down to a point. Those which do not factor through the blowing up of a point are treated in the body of the paper, and the factorizable morphisms are computed in an appendix. The relevance of this classification to the determination of the nature of the "general" toric morphism is discussed.

Original languageEnglish
Pages (from-to)49-67
Number of pages19
JournalIsrael Journal of Mathematics
Issue number1
StatePublished - Feb 1987


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