The global homological dimension of the ring of differential operators on a nonsingular variety over a field of positive characteristic

DOI10.1016/0021-8693(87)90076-7zbMath0617.13007OpenAlexW2149652144MaRDI QIDQ1821821

S. Paul. Smith

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90076-7

zbMATH Keywords

ring of differential operatorscoordinate ringglobal homological dimension

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Varieties and morphisms (14A10) Regular local rings (13H05)

Related Items (10)

The $D$–module structure of $R[F$–modules] ⋮ Über Differentialoperatoren und \({\mathcal D}\)-Moduln in positiver Charakteristik. (On differential operators and \({\mathcal D}\)- modules in positive characteristic) ⋮ Bernstein–Sato functional equations, V-filtrations, and multiplier ideals of direct summands ⋮ Bernstein-Sato Polynomials in Commutative Algebra ⋮ On direct and inverse images of \(\mathcal D\)-modules in prime characteristic ⋮ \(D\)-modules, Bernstein-Sato polynomials and \(F\)-invariants of direct summands ⋮ The total symbol theorem of a \(p\)-adic differential operator ⋮ Non-commutative resolutions of toric varieties ⋮ The total symbol theorem of a \(p\)-adic differential echelon operator \(h\geq 0\) ⋮ On a theory of the \(b\)-function in positive characteristic

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• On the Homological Dimension of Algebras of Differential Operators

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