On Hilbert functions of general intersections of ideals
Commutative Algebra
2013-03-26 v1
Abstract
Let I and J be homogeneous ideals in a standard graded polynomial ring. We study upper bounds of the Hilbert function of the intersection of I and g(J), where g is a general change of coordinates. Our main result gives a generalization of Green's hyperplane section theorem.
Keywords
Cite
@article{arxiv.1303.6030,
title = {On Hilbert functions of general intersections of ideals},
author = {Giulio Caviglia and Satoshi Murai},
journal= {arXiv preprint arXiv:1303.6030},
year = {2013}
}
Comments
10 pages