Vanishing ideals of parameterized subgroups in a toric variety

DOI10.55730/1300-0098.3259zbMath1495.14075arXiv2105.02294OpenAlexW3158543257MaRDI QIDQ5102088

Esma Baran Özkan

Publication date: 6 September 2022

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.02294

zbMATH Keywords

toric varietieslatticesvanishing ideals

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) Finite ground fields in algebraic geometry (14G15) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (1)

Rational points of lattice ideals on a toric variety and toric codes

Uses Software

• Macaulay2

Cites Work

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• Multigraded Hilbert functions and toric complete intersection codes
• Complete intersection vanishing ideals on degenerate tori over finite fields
• Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields
• Toric codes and lattice ideals
• Codes over a weighted torus
• Vanishing ideals over finite fields
• ON THE VANISHING IDEAL OF AN ALGEBRAIC TORIC SET AND ITS PARAMETRIZED LINEAR CODES
• Combinatorial Nullstellensatz
• Computations in algebraic geometry with Macaulay 2
• On parameterized toric codes

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