2009
DOI: 10.1090/s0002-9939-09-09996-1
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On the syzygies of quasi-complete intersection space curves

Abstract: Abstract. In this paper, we discuss minimal free resolutions of the homogeneous ideals of quasi-complete intersection space curves. We show that if X is a quasi-complete intersection curve in P 3 , then I X has a minimal free resolutionTherefore the ranks of the first and the second syzygy modules are determined by the number of elements in a minimal generating set of I X . Also we give a relation for the degrees of syzygy modules of I X . Using this theorem, one can construct a smooth quasicomplete intersecti… Show more

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