论文标题
凸体和单一理想的分级家庭
Convex bodies and graded families of monomial ideals
论文作者
论文摘要
我们表明，任意凸体的混合体积等于单一理想的分级家庭的混合多重性，并等于单一理想的混合多重性的归一化限制。该结果表明了来自凸几何形状的混合体积理论与交换代数的混合倍数之间的密切关系。
We show that the mixed volumes of arbitrary convex bodies are equal to mixed multiplicities of graded families of monomial ideals, and to normalized limits of mixed multiplicities of monomial ideals. This result evinces the close relation between the theories of mixed volumes from convex geometry and mixed multiplicities from commutative algebra.
