Convex bodies and graded families of monomial ideals.

Autor: Cid-Ruiz, Yairon, Montaño, Jonathan
Předmět:
Zdroj: Revista Mathematica Iberoamericana; 2022, Vol. 38 Issue 6, p2033-2056, 24p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index