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We consider ideals of minors of a matrix, ideals of minors of a symmetricmatrix, and ideals of Pfaffians of an alternating matrix. Assuming these idealsare of generic height, we characterize the condition $G_{s}$ for these idealsin terms of the heights of other ideals of minors or Pfaffians of the samematrix. We additionally obtain bounds on the generation and concentrationdegrees of the Rees rings of a subclass of such ideals via specialization ofthe Rees rings in the generic case. We do this by proving, given sufficientheight conditions on ideals of minors or Pfaffians of the matrix, thespecialization of a resolution of the Rees ring in the generic case is anapproximate resolution of the Rees ring in question. We end the paper by givingsome explicit generation and concentration degree bounds.

Bounding the degrees of the defining equations of Rees rings for certain determinantal and Pfaffian ideals