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Inequalities satisfied by the basic sequence of an integral curve in P^3 by Amasaki, Mutsumi is a scholarly article available to read on EtoBox.

What is Inequalities satisfied by the basic sequence of an integral curve in P^3 about?

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.

Author

Amasaki, Mutsumi

Published

2005

Language

EN