论文标题
线束的强度
The strength for line bundles
论文作者
论文摘要
我们介绍了代数品种的线束的各个部分的强度。这概括了最近引入的均质多项式的强度，以解决Stillman的猜想，这是通勤代数中的重要问题。我们建立了此概念的第一个属性，并提供了一些工具以获得该框架中强度的上限。此外，我们在通常的强度上显示了一些结果，例如强度的降低性两个均匀的多项式。
We introduce the strength for sections of a line bundle on an algebraic variety. This generalizes the strength of homogeneous polynomials that has been recently introduced to resolve Stillman's conjecture, an important problem in commutative algebra. We establish the first properties of this notion and give some tool to obtain upper bounds on the strength in this framework. Moreover, we show some results on the usual strength such as the reducibility of the set of strength two homogeneous polynomials.
