Some examples of Gorenstein liaison in codimension three.

Hartshorne, Robin. "Some examples of Gorenstein liaison in codimension three.." Collectanea Mathematica 53.1 (2002): 21-48. <http://eudml.org/doc/42824>.

@article{Hartshorne2002,
abstract = {Gorenstein liaison seems to be the natural notion to generalize to higher codimension the well-known results about liaison of varieties of codimension 2 in projective space. In this paper we study points in P3 and curves in P4 in an attempt to see how far typical codimension 2 results will extend. While the results are satisfactory for small degree, we find in each case examples where we cannot decide the outcome. This examples are candidates for counterexamples to the hoped-for extensions of codimension 2 theorems.},
author = {Hartshorne, Robin},
journal = {Collectanea Mathematica},
keywords = {Curvas algebraicas; Variedades; Ligaduras Gorenstein; Codimensión},
language = {eng},
number = {1},
pages = {21-48},
title = {Some examples of Gorenstein liaison in codimension three.},
url = {http://eudml.org/doc/42824},
volume = {53},
year = {2002},
}

TY - JOUR
AU - Hartshorne, Robin
TI - Some examples of Gorenstein liaison in codimension three.
JO - Collectanea Mathematica
PY - 2002
VL - 53
IS - 1
SP - 21
EP - 48
AB - Gorenstein liaison seems to be the natural notion to generalize to higher codimension the well-known results about liaison of varieties of codimension 2 in projective space. In this paper we study points in P3 and curves in P4 in an attempt to see how far typical codimension 2 results will extend. While the results are satisfactory for small degree, we find in each case examples where we cannot decide the outcome. This examples are candidates for counterexamples to the hoped-for extensions of codimension 2 theorems.
LA - eng
KW - Curvas algebraicas; Variedades; Ligaduras Gorenstein; Codimensión
UR - http://eudml.org/doc/42824
ER -