We characterize the postulation character of arithmetically Gorenstein curves in P4. We give conditions under which the curve can be realized in the form mH - K on some ACM surface. Finally, we complement a theorem by Watanabe by showing that any general arithmetically Gorenstein curve in P4 with arbitrary fixed postulation character can be obtained from a line by a series of ascending complete-intersection biliaisons.
@article{urn:eudml:doc:44332,
title = {Geometry of arithmetically Gorenstein curves in P4.},
journal = {Collectanea Mathematica},
volume = {55},
year = {2004},
pages = {97-111},
zbl = {1052.14032},
mrnumber = {MR2028982},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44332}
}
Hartshorne, Robin. Geometry of arithmetically Gorenstein curves in P4.. Collectanea Mathematica, Tome 55 (2004) pp. 97-111. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44332/