Existence Theorems of Valuations Centered in a Local Domain with Preassigned Dimension and Rank
Motoyoshi Sakuma · Hiroshima Mathematical Journal · 1957
Introduction,.In his recent work, S. Abhyankar developed systematically certain aspects of valuations centered in a local domain [2].Among his results, we are particularly interested in the following theorem [2, theorem 1 p. 330].Let (o, m) be a local domain of rank d with quotient field I and let v