On the tropicalization of D-ideals

DOI10.1080/00927872.2022.2133131OpenAlexW4306838958MaRDI QIDQ5882677

Jen-Chieh Hsiao

Publication date: 17 March 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2022.2133131

zbMATH Keywords

Weyl algebras\(D\)-modulestropical geometryGröbner complexes

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Rings of differential operators (associative algebraic aspects) (16S32) Foundations of tropical geometry and relations with algebra (14T10)

Cites Work

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• Local Gröbner fans
• The Gröbner fan of an \(A_n\)-module
• Gröbner deformations of hypergeometric differential equations
• Antichains of monomial ideals are finite
• Polygône de Newton et $b$-fonctions pour les modules microdifférentiels
• Pentes algébriques et pentes analytiques d'un -module
• Linear meromorphic differential equations: A modern point of view
• Tropical algebraic geometry
• The analytic standard fan of a \(\mathcal D\)-module
• Irreducible components of characteristic varieties.

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