Abstract:Given a generically finite local extension of valuation rings π β π, the question of whether π is the localization of a finitely generated π-algebra is significant for approaches to the problem of local uniformization of valuations using ramification theory. Hagen Knaf proposed a characterization of when π is essentially of finite type over π in terms of classical invariants of the extension of associated valuations. Knaf's conjecture has been verified in important special cases by Cutkosky and Novacoski… Show more
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