Despite the recent advances made in Gorenstein liaison, there are still many open questions for the theory in codimension ≥ 3. In particular we consider the following question: given two curves in Pn with isomorphic deficiency modules (up to shift), can they be evenly Gorenstein linked? The answer for this is yes for curves in P3, due to Rao, but for higher codimension the answer is not known. This paper will look at large classes of curves in P4 with isomorphic deficiency modules and show that they can be Gorenstein linked. However, we are not able to prove (or disprove) the general case.
@article{urn:eudml:doc:42760,
title = {Gorenstein liaison of some curves in P4.},
journal = {Collectanea Mathematica},
volume = {52},
year = {2001},
pages = {219-230},
zbl = {1074.14527},
mrnumber = {MR1885220},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42760}
}
Lesperance, Joshua. Gorenstein liaison of some curves in P4.. Collectanea Mathematica, Tome 52 (2001) pp. 219-230. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42760/