Local equations for the toric Hilbert scheme

DOI10.1006/aama.2000.0691zbMath0971.14008OpenAlexW2004069194MaRDI QIDQ1841173

Irena Peeva, Michael Stillman

Publication date: 12 June 2001

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c7e631a1461a0c5136f830b897db0650f187f49d

zbMATH Keywords

toric idealtoric Hilbert schemetangent cone algorithm\({\mathcal A}\)-graded idealconjecture of SturmfelsStanley-Reiser ideal

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Parametrization (Chow and Hilbert schemes) (14C05) Effectivity, complexity and computational aspects of algebraic geometry (14Q20)

Related Items (2)

Multigraded Hilbert schemes ⋮ Toric Hilbert schemes.

Uses Software

• Macaulay2

Cites Work

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• Classification of \(A\)-graded algebras with 3 generators
• Gröbner bases of toric varieties
• Toric Hilbert schemes.
• Classification of generalized \(A\)-graded algebras with 3 generators
• Advances and improvements in the theory of standard bases and syzygies
• A-graded algebras and continued fractions

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