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Split embedding problems over function fields over complete domains
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 131, Number 5, October 2009
- pp. 1465-1483
- 10.1353/ajm.0.0075
- Article
- Additional Information
Let $R$ be a Krull domain, complete with respect
to a nonzero ideal. Let $K$ be the quotient field
of~$R$. We prove that every finite split embedding
problem is solvable over every function field in
one variable over~$K$. If $\dim R > 1$, then every
finite split embedding problem over $K$ is solvable.