Sparse effective membership problems via residue currents

DOI10.1007/s00208-010-0575-6zbMath1234.32001arXiv0903.3618OpenAlexW2022779209MaRDI QIDQ634801

Elizabeth Wulcan

Publication date: 16 August 2011

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3618

zbMATH Keywords

toric varietieseffective Nullstellensatzresidue currentsideal membership problems

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Integration on analytic sets and spaces, currents (32C30) Residues for several complex variables (32A27)

Related Items (5)

On the Effective Membership Problem for Polynomial Ideals ⋮ Some variants of Macaulay's and Max Noether's theorems ⋮ Concavity, Abel transform and the Abel-inverse theorem in smooth complete toric varieties ⋮ On degree bounds for the sparse Nullstellensatz ⋮ Global effective versions of the Briançon-Skoda-Huneke theorem

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