Combinatorial differential algebra of \(x^p\)

DOI10.1016/j.jsc.2022.04.010OpenAlexW4224234910MaRDI QIDQ2156366

Rida Ait El Manssour, Anna-Laura Sattelberger

Publication date: 18 July 2022

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.03182

zbMATH Keywords

Gröbner basisperfect graphEhrhart polynomialdifferential idealregular triangulationmultivariate jet

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Differential algebra (12H05) Combinatorial aspects of commutative algebra (05E40)

Cites Work

• Moduli of tropical plane curves
• Primary differential nil-algebras do exist
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• Finite Gröbner bases in infinite dimensional polynomial rings and applications
• New effective differential Nullstellensatz
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• Looking for a new version of Gordon's identities
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• Anti-blocking polyhedra
• Normal hypergraphs and the perfect graph conjecture
• Associative differential operations
• Jet and prolongation spaces
• The Multiplicity of Jet Schemes of a Simple Normal Crossing Divisor
• The Jet Scheme of a Monomial Scheme
• On the Structure of Differential Polynomials and on Their Theory of Ideals
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