Intersection theory and Hilbert function

DOI10.1007/s10688-011-0033-6zbMath1271.13033OpenAlexW1975872798MaRDI QIDQ366327

A. G. Khovanskii

Publication date: 12 September 2013

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

Full work available at URL: https://doi.org/10.1007/s10688-011-0033-6

zbMATH Keywords

intersection theoryHilbert functionBernstein-Kushnirenko theoremdegree of projective variety

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Lattices and convex bodies (number-theoretic aspects) (11H06)

Related Items (1)

Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory

Cites Work

• Unnamed Item
• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• Moment polytopes, semigroup of representations and Kazarnovskii's theorem
• Quasimodes generated by characters of a dynamical group, and deformation of the Kirillov form
• Convex bodies associated to linear series
• Newton polytopes for horospherical spaces
• Convex bodies associated to actions of reductive groups
• Mixed volume and an extension of intersection theory of divisors

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