Dimension, multiplicity, holonomic modules, and an analogue of the inequality of Bernstein for rings of differential operators in prime characteristic

DOI10.1090/S1088-4165-09-00352-5zbMath1234.13025arXivmath/0605073OpenAlexW1968813866MaRDI QIDQ3558877

Vladimir V. Bavula

Publication date: 11 May 2010

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605073

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) 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) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (10)

On linear representations of \(p\)-adic Heisenberg groups ⋮ SIMPLICITY CRITERIA FOR RINGS OF DIFFERENTIAL OPERATORS ⋮ On injective resolutions of local cohomology modules ⋮ Resolutions in local algebra and singularity theory. Abstracts from the workshop held February 5--11, 2023 ⋮ Bernstein-Sato theory for singular rings in positive characteristic ⋮ Generalized Weyl algebras and diskew polynomial rings ⋮ Dimension, multiplicity, holonomic modules, and an analogue of the inequality of Bernstein for rings of differential operators in prime characteristic ⋮ A characteristic-free proof of a basic result on \(\mathcal D\)-modules ⋮ The algebra of one-sided inverses of a polynomial algebra. ⋮ Generators and defining relations for the ring of differential operators on a smooth affine algebraic variety in prime characteristic

Cites Work

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• IDENTIFICATION OF THE HILBERT FUNCTION AND POINCARÉ SERIES, AND THE DIMENSION OF MODULES OVER FILTERED RINGS
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