Strong Toroidalization of Birational Morphisms of 3-Folds

Simple item page
dc.creatorCutkosky, Steven Dale
dc.date2004-12-26
dc.date.accessioned2026-07-07T05:15:39Z
dc.date.available2026-07-07T05:15:39Z
dc.descriptionIn this paper we prove strong toroidalization of birational morphisms of 3-folds. Suppose that f:X\to Y is a birational morphism of nonsingular complete 3-folds, and D_Y, D_X are simple normal crossings divisors on Y and X such that f^{-1}(D_Y)=D_X and D_X contains the singular locus of the morphism f. We prove that there exist morphisms Φ:X_1\to X and Ψ:Y_1\to Y which are products of blow ups of points and nonsingular curves which are supported in the preimage of D_Y and make simple normal crossings with this preimage, such that f_1=Ψ_1^{-1}\circ f\circ Φ_1 is a toroidal morphism. This theorem generalizes the toroidalization theorem which we prove in ``Toroidalization of birational morphisms of 3-folds''.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/math/0412497
dc.identifierhttp://arxiv.org/abs/math/0412497
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73702
dc.subjectAlgebraic Geometry
dc.subject14E05
dc.titleStrong Toroidalization of Birational Morphisms of 3-Folds
dc.typetext

Files

Collections

arXiv