A note on the factorization theorem of toric birational maps after Morelli and its toroidal extension

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dc.creatorAbramovich, D.
dc.creatorMatsuki, K.
dc.creatorRashid, S.
dc.date1998-03-25
dc.date2000-02-11
dc.date.accessioned2026-07-07T05:24:12Z
dc.date.available2026-07-07T05:24:12Z
dc.descriptionThe recent two proofs for the (weak) factorization theorem for birational maps, one by Włodarczyk and the other by Abramovich-Karu-Matsuki-Włodarczyk rely on the results of Morelli. The former uses the process for $π$-desingularization (the most subtle part of Morelli's combinatorial algorithm), while the latter uses the strong factorization of toric (toroidal) birational maps directly. This paper provides a coherent account of Morelli's work (and its toroidal extension) clarifying some discrepancies in the original argument.
dc.descriptionthe final and published version with minor mistakes corrected
dc.identifierhttps://arxiv.org/abs/math/9803126
dc.identifierhttp://arxiv.org/abs/math/9803126
dc.identifierTohoku Math J. 51 (1999), 489-537
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76747
dc.subjectAlgebraic Geometry
dc.titleA note on the factorization theorem of toric birational maps after Morelli and its toroidal extension
dc.typetext

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