Sums of finite sets, orbits of commutative semigroups, and Hilbert functions

DOI10.1007/BF01080008zbMath0855.13011MaRDI QIDQ1910983

A. G. Khovanskii

Publication date: 3 February 1997

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

polynomial algebraHilbert-Samuel polynomialfiltered subspace of a graded moduleorbits of commutative semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (11)

Sumsets and projective curves ⋮ On threefold canonical thresholds ⋮ Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory ⋮ Generalizations of Khovanskiĭ's theorems on the growth of sumsets in abelian semigroups ⋮ On factorization invariants and Hilbert functions ⋮ Polynomial growth of sumsets in abelian semigroups ⋮ Short rational generating functions for lattice point problems ⋮ Newton-Okounkov theory in an abstract setting ⋮ Iterated sumsets and Hilbert functions ⋮ Sums of Finite Sets of Integers, II ⋮ Additive Number Theory and Linear Semigroups with Intermediate Growth

Cites Work

• Quasimodes generated by characters of a dynamical group, and deformation of the Kirillov form
• Points entiers dans les polyèdres convexes
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