Extending valuations of local domains to complete local domains without changing the value group

F. J. Herrera Govantes, M. A. Olalla Acosta, M. Spivakovsky +1

Let $(R,m,k)$ be an excellent local noetherian domain with field of fractions $K$. Let $$\nu :K^{\ast }\twoheadrightarrow \Gamma$$ be a valuation centered at $R$ and let $R_{\nu }$ be the correspondi…