SIMPLICITY CRITERIA FOR RINGS OF DIFFERENTIAL OPERATORS

DOI10.1017/S0017089521000148zbMath1502.13062arXiv1912.07379MaRDI QIDQ5070178

Vladimir V. Bavula

Publication date: 11 April 2022

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07379

zbMATH Keywords

rings of differential operatorsjacobian idealsimplicity of rings of differential operators

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Derivations and commutative rings (13N15) Commutative rings of differential operators and their modules (13N10) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Rings of differential operators (associative algebraic aspects) (16S32) Ideals in associative algebras (16D25)

Cites Work

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• Generators and defining relations for the ring of differential operators on a smooth affine algebraic variety
• Differential operators on monomial curves.
• Generators and defining relations for the ring of differential operators on a smooth affine algebraic variety in prime characteristic
• Dimension, multiplicity, holonomic modules, and an analogue of the inequality of Bernstein for rings of differential operators in prime characteristic
• Some Rings of Differential Operators Which are Morita Equivalent to the Weyl Algebra A 1
• When rings of differential operators are maximal orders
• Differential Operators on an Affine Curve

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