solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看2767次
A Pommaret Bases Approach to the Degree of a Polynomial Ideal. (arXiv:1809.10964v1 [math.AG])
来源于:arXiv
In this paper, we study first the relationship between Pommaret bases and
Hilbert series. Given a finite Pommaret basis, we derive new explicit formulas
for the Hilbert series and for the degree of the ideal generated by it which
exhibit more clearly the influence of each generator. Then we establish a new
dimension depending Bezout bound for the degree and use it to obtain a
dimension depending bound for the ideal membership problem. 查看全文>>