论文标题
定义二级理想的多项式的syzygies度的界限
Bounds for degrees of syzygies of polynomials defining a grade two ideal
论文作者
论文摘要
我们将指数上的指数构成在有效的Quillen-Suslin定理中出现的多项式的程度上，并与Hilbert-Burch定理共同应用它，以表明在N变量中，M polynomials的Syzygy模块在N变量中的n变量序列序列是免费的。在已知情况下，这些界限改善了先前的结果。
We make explicit the exponential bound on the degrees of the polynomials appearing in the Effective Quillen-Suslin Theorem, and apply it jointly with the Hilbert-Burch Theorem to show that the syzygy module of a sequence of m polynomials in n variables defining a complete intersection ideal of grade two is free, and that a basis of it can be computed with bounded degrees. In the known cases, these bounds improve previous results.
