Gorenstein liaison of divisors on standard determinantal schemes and on rational normal scrolls

Lot C subset of P-n be an arithmetically Cohen-Macaulay subscheme. In terms of Gorenstein liaison it is natural to ask whether C is in the Gorenstein liaison class of a complete intersection. In this paper, we study the Goren stein liaison classes of arithmetically Cohen-Macaulay divisors on standard determinantal schemes and on rational normal scrolls. As main results, we obtain that if C is an arithmetically Cohen-Macaulay divisor on a "general" arithmetically Cohen-Macaulay surface in P-4 or on a rational normal scrol l surface S subset of P-n, then C is glicci (i.e. it belongs to the Gorenst ein liaison class of a complete intersection). (C) 2001 Elsevier Science B. V. All rights reserved.