The combinatorics of alternative factorizations

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    Abstract

    In this paper we count the number of distinct toroidal morphisms to 3-space satisfying Danilov's condition (0), obtaining the simple formula M n =3·4 n-1 for n blowings up. We also give average and extremal values for the number of alternative factorization sequences for such a morphism.

    Original languageEnglish
    Pages (from-to)79-95
    Number of pages17
    JournalIsrael Journal of Mathematics
    Volume48
    Issue number1
    DOIs
    StatePublished - Dec 1984

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