Toroidalization of Locally Toroidal Morphisms from N-folds to Surfaces

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dc.creatorHanumanthu, Krishna
dc.date2008-03-28
dc.date2008-07-14
dc.date.accessioned2026-07-07T09:49:47Z
dc.date.available2026-07-07T09:49:47Z
dc.descriptionThe toroidalization conjecture of D. Abramovich, K. Karu, K. Matsuki, and J. Wlodarczyk asks whether any given morphism of nonsingular varieties over an algebraically closed field of characteristic zero can be modified into a toroidal morphism. Following a suggestion by Dale Cutkosky, we define the notion of \emph{locally toroidal} morphisms and ask whether any locally toroidal morphism can be modified into a toroidal morphism. In this paper, we answer the question in the affirmative when the morphism is between any arbitrary variety and a surface.
dc.description22 pages. Final version (added an outline of the proof to the introduction, fixed some errors of notation); to appear in J of Pure and Applied Algebra
dc.identifierhttps://arxiv.org/abs/0803.4210
dc.identifierhttp://arxiv.org/abs/0803.4210
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164714
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14B25
dc.titleToroidalization of Locally Toroidal Morphisms from N-folds to Surfaces
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