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Displaying similar documents to “Local monomialization of transcendental extensions”

On the Jung method in positive characteristic

Olivier Piltant (2003)

Annales de l’institut Fourier

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Let X ¯ be a germ of normal surface with local ring R ¯ covering a germ of regular surface X with local ring R of characteristic p > 0 . Given an extension of valuation rings W / V birationally dominating R ¯ / R , we study the existence of a new such pair of local rings R ¯ ' / R ' birationally dominating R ¯ / R , such that R ' is regular and R ¯ ' has only toric singularities. This is achieved when W / V is defectless or when [ W : V ] is equal to p

Formal prime ideals of infinite value and their algebraic resolution

Steven Dale Cutkosky, Samar ElHitti (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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Suppose that R is a local domain essentially of finite type over a field of characteristic 0 , and ν a valuation of the quotient field of R which dominates R . The rank of such a valuation often increases upon extending the valuation to a valuation dominating R ^ , the completion of R . When the rank of ν is 1 , Cutkosky and Ghezzi handle this phenomenon by resolving the prime ideal of infinite value, but give an example showing that when the rank is greater than 1 , there is no natural ideal...