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- W2952058191 abstract "The main goal of the present paper is two-fold. First we extend the theory of toroidal embeddings introduced by Kempf, Knudsen, Mumford and Saint-Donat to the class of toroidal varieties with stratifications (which is the main body of the paper). Second we give a proof of the following weak factorization theorem as an application and illustration of the theory: A birational map between complete nonsingular varieties over an algebraically closed field K of characteristic zero is a composite of blow ups and blow downs with smooth centers. Another proof of the weak factorization theorem appeared in a joint paper with Abramovich, Karu and Matsuki (math.AG/9904135) In that paper the theorem is stated and proven in general for proper algebraic and analytic spaces." @default.
- W2952058191 created "2019-06-27" @default.
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- W2952058191 date "1999-04-15" @default.
- W2952058191 modified "2023-09-25" @default.
- W2952058191 title "Toroidal varieties and the weak Factorization Theorem" @default.
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