Local Gröbner fans

DOI10.1016/J.CRMA.2006.11.030zbMath1107.13030arXivmath/0412044OpenAlexW2125910683MaRDI QIDQ868962

Nobuki Takayama, Rouchdi Bahloul

Publication date: 26 February 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412044

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Formal power series rings (13F25) Invariants of analytic local rings (32S10)

Related Items (5)

On the tropicalization of D-ideals ⋮ Gröbner fans of \(x\)-homogeneous ideals in \(R [\![ t \!][x]\)] ⋮ Resolving singularities of curves with one toric morphism ⋮ Computing tropical varieties over fields with valuation ⋮ Universal valued fields and lifting points in local tropical varieties

Uses Software

• Gfan

Cites Work

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• The Gröbner fan of an ideal
• The Gröbner fan of an \(A_n\)-module
• Gröbner deformations of hypergeometric differential equations
• Computing Gröbner fans
• Démonstration constructive de l'existence de polynômes de Bernstein–Sato pour plusieurs fonctions analytiques
• The analytic standard fan of a \(\mathcal D\)-module

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