I recently found some references: Theorem 4.5 of this paper and Theorem 4 + next Corollary of this paper which says:

If $(R,m,k)$ is a complete normal local domain of dimension $2$ such that $k$ is the algebraic closure of some finite field, then $Cl(R)$ is torsion!

It remains open what happens if $k$ is not algebraically closed.

I recently found some references: Theorem 4.5 of this paper and Theorem 4 + next Corollary of this paper which says:

If $(R,m,k)$ is a complete normal local domain of dimension $2$ such that $k$ is the algebraic closure of some finite field, then $Cl(R)$ is torsion!

It remains open what happens in other situations.

I recently found some references: Theorem 4.5 of this paper and Theorem 4 + next Corollary of <href="http://www.springerlink.com/content/g48k6345752803mr/"> this paper which says:

If $(R,m,k)$ is a complete normal local domain of dimension $2$ such that $k$ is the algebraic closure of some finite field, then $Cl(R)$ is torsion!

It remains open what happens if $k$ is not algebraically closed.

I recently found some references: Theorem 4.5 of this paper and Theorem 4 + next Corollary of this paper which says:

If $(R,m,k)$ is a complete normal local domain of dimension $2$ such that $k$ is the algebraic closure of some finite field, then $Cl(R)$ is torsion!

It remains open what happens if $k$ is not algebraically closed.