Newton polyhedron, Hilbert polynomial, and sums of finite sets
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Publication:1320676
DOI10.1007/BF01077066zbMath0809.13012OpenAlexW1976765258MaRDI QIDQ1320676
Publication date: 18 May 1994
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01077066
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)
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Multipoint Okounkov bodies ⋮ A Plethora of Polynomials: A Toolbox for Counting Problems ⋮ Every finite subset of an abelian group is an asymptotic approximate group ⋮ Moduli spaces of rational curves on Fano threefolds ⋮ K-stability of Fano varieties via admissible flags ⋮ Okounkov bodies and Seshadri constants ⋮ Extremizers in Soprunov and Zvavitch's Bezout inequalities for mixed volumes ⋮ Generalizations of Khovanskiĭ's theorem on growth of sumsets in abelian semigroups ⋮ Sumsets and Veronese varieties ⋮ Khovanskii's theorem and effective results on sumset structure ⋮ Classifying sections of del Pezzo fibrations. I ⋮ Convexity of multiplicities of filtrations on local rings ⋮ Generalizations of Khovanskiĭ's theorems on the growth of sumsets in abelian semigroups ⋮ Arithmetic Seshadri fuction and Arakelov geometry ⋮ Numerical characterization of nef arithmetic divisors on arithmetic surfaces ⋮ Polynomial growth of sumsets in abelian semigroups ⋮ Introduction to arithmetic Hilbert-Samuel theorems ⋮ Convex bodies and multiplicities of ideals ⋮ Iterated sumsets and Hilbert functions ⋮ Zariski decompositions of numerical cycle classes ⋮ Sums of Finite Sets of Integers, II ⋮ Additive Number Theory and Linear Semigroups with Intermediate Growth ⋮ Schur asymptotics of Veronese syzygies
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