On syzygies of divisors on rational normal scrolls

초록

In this paper, we study the minimal free resolution of a nondegenerate projective variety X subset of P-r when X is contained in a variety Y of minimal degree as a divisor. Such a variety is of interest because of its extremal behavior with respect to various properties. The graded Betti diagram of X has been completely known only when X is arithmetically Cohen-Macaulay. Our main result in the present paper provides a detailed description of the graded Betti diagram of X for the case where X is not arithmetically Cohen-Macaulay. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

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