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dc.contributor.advisorCutkosky, Steven Daleeng
dc.contributor.authorHanumanthu, Krishna Chaithanya, 1981-eng
dc.date.issued2008eng
dc.date.submitted2008 Springeng
dc.descriptionThe entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file.eng
dc.descriptionTitle from title screen of research.pdf file (viewed on June 8, 2009)eng
dc.descriptionVita.eng
dc.descriptionIncludes bibliographical references.eng
dc.descriptionThesis (Ph. D.) University of Missouri-Columbia 2008.eng
dc.descriptionDissertations, Academic -- University of Missouri--Columbia -- Mathematics.eng
dc.description.abstractLet X and Y be nonsingular varieties over an algebraically closed field [kappa] of characteristic zero. A toroidal structure on X is a simple normal crossing divisor DX on X. Suppose that DX and DY are toroidal structures on X and Y respectively. A dominant morphism [function] : X [arrow] Y is toroidal (with respect to the toroidal structures DX and DY ) if for all closed points [rho] 2 X, [function] is isomorphic to a toric morphism of toric varieties specified by the toric charts at [rho] and [function] [rho]. A dominant morphism [function] : X [arrow] Y of nonsingular varieties is toroidalizable if there exist sequences of blow ups with nonsingular centers [pi] : Y₁ [arrow] Y and [pi]₁ : X₁ [arrow] X so that the induced map [function]₁ : X1 [arrow] Y1 is toroidal. Let [function] : X [arrow] Y be a dominant morphism. Suppose that there exist finite open covers (Ui) and (Vi) of X and Y respectively such that [function] (Ui) [arrow] Vi and the restricted morphisms [function] : (Ui) [arrow] Vi are toroidal for all i. [function] is then called locally toroidal. It is proved that a locally toroidal morphism from an arbitrary variety to a surface is toroidalizable.eng
dc.identifier.merlin.b68801762eng
dc.identifier.oclc374374524eng
dc.identifier.otherHanumanthuK-050208-9420eng
dc.identifier.urihttp://hdl.handle.net/10355/5608eng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartof2008 Freely available dissertations (MU)eng
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. Graduate School. Theses and Dissertations. Dissertations. 2008 Dissertationseng
dc.subject.lcshToroidal harmonicseng
dc.subject.lcshMorphisms (Mathematics)eng
dc.titleToroidalization of locally toroidal morphismseng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


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