论文标题
混合多重性和理性地图的投影程度
Mixed multiplicities and projective degrees of rational maps
论文作者
论文摘要
我们考虑使用Hilbert系列的多层模块的混合多重性概念，后来将其用于研究理性地图的投影程度。我们使用一般框架来通过计算饱和特殊纤维环的多样性来确定有理图的投影度。作为特定的应用，我们为所有投影性的理性图的概括程度提供了明确的公式，由高度二的理想理想或高度三的理想确定。
We consider the notion of mixed multiplicities for multigraded modules by using Hilbert series, and this is later applied to study the projective degrees of rational maps. We use a general framework to determine the projective degrees of a rational map via a computation of the multiplicity of the saturated special fiber ring. As specific applications, we provide explicit formulas for all the projective degrees of rational maps determined by perfect ideals of height two or by Gorenstein ideals of height three.
