TY - JOUR
T1 - On the intersection of the curves through a set of points in P2
AU - Teitler, Zachariah C.
PY - 2007/5
Y1 - 2007/5
N2 - Given a set of points in P2, we consider the common zeros of the set of curves of a given degree passing through those points. For general sets of points, these zero sets have the expected dimension and are smooth. In fact, given graded Betti numbers, for any arrangement of points whose ideal has those graded Betti numbers, general among such arrangements, the zero sets have the expected dimension and are smooth.
AB - Given a set of points in P2, we consider the common zeros of the set of curves of a given degree passing through those points. For general sets of points, these zero sets have the expected dimension and are smooth. In fact, given graded Betti numbers, for any arrangement of points whose ideal has those graded Betti numbers, general among such arrangements, the zero sets have the expected dimension and are smooth.
UR - https://www.scopus.com/pages/publications/33846030801
U2 - 10.1016/j.jpaa.2006.07.007
DO - 10.1016/j.jpaa.2006.07.007
M3 - Article
AN - SCOPUS:33846030801
SN - 0022-4049
VL - 209
SP - 571
EP - 581
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 2
ER -