Annihilators of distributions associated with algebraic local cohomology of a hypersurface

DOI10.1080/17476933.2012.751100zbMath1301.32007OpenAlexW2107216342MaRDI QIDQ2929324

Toshinori Oaku

Publication date: 11 November 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2012.751100

zbMATH Keywords

generalized functionannihilatorlocal cohomologyresidue

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Sheaves of differential operators and their modules, (D)-modules (32C38) Local cohomology and algebraic geometry (14B15)

Uses Software

• Risa/Asir

Cites Work

• On the characteristic variety of a holonomic system with regular singularities
• B-functions and holonomic systems. Rationality of roots of B-functions
• On the theory of b-functions
• On the holonomic systems of linear differential equations. II
• An algorithm of computing \(b\)-functions
• Algorithms for \(b\)-functions, restrictions, and algebraic local cohomology groups of \(D\)-modules
• Algorithms for integrals of holonomic functions over domains defined by polynomial inequalities

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