Convex bodies and graded families of monomial ideals

نویسندگان

چکیده

We show that the mixed volumes of arbitrary convex bodies are equal to multiplicities graded families monomial ideals, and normalized limits ideals. This result evinces close relation between theories from geometry commutative algebra.

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ژورنال

عنوان ژورنال: Revista Matematica Iberoamericana

سال: 2022

ISSN: ['2235-0616', '0213-2230']

DOI: https://doi.org/10.4171/rmi/1373