The homogeneous ideals of curves in a double plane have been studied by Chiarli, Greco, Nagel. Completing this work we describe the equations of any curve that is contained in some quadric. As a consequence, we classify the Hartshorne-Rao modules of such curves.
@article{urn:eudml:doc:41800, title = {The equations of space curves on a quadric.}, journal = {Collectanea Mathematica}, volume = {58}, year = {2007}, pages = {119-130}, zbl = {1122.14023}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41800} }
Di Gennaro, Roberta; Nagel, Uwe. The equations of space curves on a quadric.. Collectanea Mathematica, Tome 58 (2007) pp. 119-130. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41800/