Curves of degree two and ropes on a line: Their ideals and even liaison classes. (Q1400196)

The authors study which curves belong to the same Gorenstein liaison class. For a detailed account of this notion which generalizes the classical notion of liaison by complete intersection one may look at [\textit{J. C. Migliore}, ``Introduction to liaison theory and deficiency modules'' (1998; Zbl 0921.14033) and \textit{J. C. Migliore} and \textit{U. Nagel}, Rend. Semin. Mat. Univ. Politec. Torino 59, No.~2, 59--126 (2001; Zbl 1172.13305)]. In the seminal paper of \textit{P. Rao} [Invent. Math 50, 205--217 (1979; Zbl 0406.14033)] it was proved that for curves in 3-space, being in the same liaison class is equivalent to the Hartshorne-Rao modules being isomorphic up to a twist. The authors of the article under review study the case of ropes in higher projective spaces and prove a similar theorem with some restrictions.