42 citations · 184 across the 42 of their papers we have counts for
50 papers
Algebraic valuation ring extensions as limits of complete intersection algebras
Dorin Popescu
We show that an algebraic immediate valuation ring extension of characteristic is a filtered union of complete intersection algebras of finite type.
Pure transcendental, immediate valuation ring extensions as limits of smooth algebras
Dorin Popescu
We show that a pure transcendental, immediate extension of valuation rings containing a field is a filtered union of smooth -subalgebras of .
Valuation rings of mixed characteristic as limits of complete intersection rings
Dorin Popescu
We show that a mixed characteristic valuation ring with a value group , $\val$ its valuation and a residue field of characteristic , is a filtered colimit of complete inter…
Extensions of valuation rings containing as limits of smooth algebras
Dorin Popescu
We give a necessary and sufficient condition for an extension of valuation rings containing to be a filtered direct limit of smooth algebras.
Valuation rings of dimension one as limits of smooth algebras
Dorin Popescu
As in Zariski's Uniformization Theorem we show that a valuation ring of characteristic of dimension one is a filtered direct limit of smooth -algebras under so…
Valuation rings as limits of complete intersection rings
Dorin Popescu
We show that a valuation ring containing its residue field of characteristic is a filtered direct limit of complete intersection -algebras.