Gives necessary condition from Knaf for essential finite generation of valuation rings in finite extensions of valued fields, proves sufficiency in particular cases, and supplies an equivalent condition for finite generation of the associated graded algebra extensions.
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Essentially finite generation of valuation rings in terms of classical invariants
Gives necessary condition from Knaf for essential finite generation of valuation rings in finite extensions of valued fields, proves sufficiency in particular cases, and supplies an equivalent condition for finite generation of the associated graded algebra extensions.