A Note on the Factorization Theorem of Toric Birational Maps after Morelli and Its Toroidal Extension
نویسندگان
چکیده
Building upon the work of [Morelli1,2], we give a coherent presentation of Morelli’s algorithm for the weak and strong factorization of toric birational maps. We also discuss its toroidal extension, which plays a crucial role in the recent solutions [W lodarczyk2,3, Abramovich-Karu-Matsuki-W lodarczyk] of the weak factorization conjecture of general birational maps.
منابع مشابه
Erratum to the Paper “a Note on the Factorization Theorem of Toric Birational Maps after Morelli and Its Toroidal Extension”
1. the failure of the algorithm in [AMR] and [Morelli1] for the strong factorization pointed out by Kalle Karu, 2. the statement of a refined weak factorization theorem for toroidal birational morphisms in [AMR], in the form utilized in [AKMR] for the proof of the weak factorization theorem for general birationla maps, avoiding the use of the above mentioned algorithm for the strong factorizati...
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تاریخ انتشار 1999