  This paper uses reconstruction algebras to construct simultaneous resolution
of determinantal surfaces. The main new difference to the classical case is
that, in addition to the quiver of the reconstruction algebra, certain
noncommutative relations, namely those of the canonical algebra of Ringel, are
required. All the relations of the reconstruction algebra except the canonical
relation are then deformed, and these deformed relations together with
variation of the GIT quotient achieve the simultaneous resolution.
