Study of three-dimensional algebras with straightening laws which are Gorenstein domains. II (Q1095977)

In part I of this paper [see the preceding review] the authors determined all three-dimensional homogeneous Gorenstein ASL domains R over an algebraically closed field k of arbitrary characteristic, by exhibiting all posets on which such an algebra can be constructed. The main results of this part II are: (i) with two exceptions, all such R are normal, and \((ii)\quad every\) R as above is rational, i.e. its field of quotients is a purely transcendental extension of k \(\{ASL=algebra\) straightening law\(\}\).