Inequalities satisfied by the basic sequence of an integral curve in P^3
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
Abstract
We show several new inequalities found recently that the basic sequence of the saturated homogeneous ideal I of an integral curve in P^3 must satisfy. Then we compare our results with Cook's assertions on the generic initial ideal of I, carrying out numerical computations with the use of a computer. The outcome is that we have obtained new restrictions on the generic initial ideal of I. When the characteristic of k is zero, the basic sequence of a homogeneous ideal I in a polynomial ring over an infinite field k is a sequence of the degrees of the minimal generators of the generic initial ideal of I arranged in a suitable order.
Cite
@article{arxiv.math/0504131,
title = {Inequalities satisfied by the basic sequence of an integral curve in P^3},
author = {Mutsumi Amasaki},
journal= {arXiv preprint arXiv:math/0504131},
year = {2007}
}
Comments
54 pages