One dimensional algebra and its geometric origins
David G. Northcott (1958-1959)
Séminaire Dubreil. Algèbre et théorie des nombres
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Displaying similar documents to “On proximity relations for valuations dominating a two-dimensional regular local ring.”
One dimensional algebra and its geometric origins
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Suppose that is a local domain essentially of finite type over a field of characteristic , and a valuation of the quotient field of which dominates . The rank of such a valuation often increases upon extending the valuation to a valuation dominating , the completion of . When the rank of is , 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 , there is no natural ideal...
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