\({\mathcal D}\)-modules on smooth toric varieties

DOI10.1006/jabr.2001.8731zbMath0981.14023arXivmath/0007099OpenAlexW2052414280MaRDI QIDQ5939575

Uli Walther, Mircea Mustaţă, Gregory G. Smith, Harrison Tsai

Publication date: 30 September 2001

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

Full work available at URL: https://arxiv.org/abs/math/0007099

zbMATH Keywords

\({\mathcal D}\)-modulescharacteristic varietyhomogeneous coordinatessmooth toric varieties

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10)

Related Items (3)

Local Cohomology—An Invitation ⋮ Differential operators, retracts, and toric face rings ⋮ Homogeneous coordinates for algebraic varieties.

Uses Software

• Kan

Cites Work

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• Algorithmic computation of local cohomology modules and the local cohomological dimension of algebraic varieties
• Differential operators on toric varieties
• An algorithm of computing \(b\)-functions
• Cohomology and toric varieties and local cohomology with monomial supports
• Gröbner deformations of hypergeometric differential equations
• Introduction to Toric Varieties. (AM-131)
• Rings of Differential Operators on Invariant Rings of Tori
• Geometric Invariant Theory
• Rings of differential operators on toric varieties
• Algorithms for \(D\)-modules -- restriction, tensor product, localization, and local cohomology groups

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