Simplicity of Rings of Differential Operators in Prime Characteristic
From MaRDI portal
Publication:4351431
DOI10.1112/S0024611597000257zbMath0948.16019arXivmath/0209275OpenAlexW2078718034MaRDI QIDQ4351431
Karen E. Smith, Michel Van den Bergh
Publication date: 5 May 1999
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0209275
rings of invariantsfinite representation typesimple ringsrings of differential operatorsprime characteristicFrobenius functors
Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Commutative rings of differential operators and their modules (13N10) Rings of differential operators (associative algebraic aspects) (16S32) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)
Related Items
Fundamental groups of $F$-regular singularities via $F$-signature, When does the F-signature exist?, The direct sum decomposability of \(^eM\) in dimension 2, The Frobenius morphism in invariant theory, The number of torsion divisors in a strongly F-regular ring is bounded by the reciprocal of F-signature, Noncommutative resolution, F-blowups and \(D\)-modules, Some extensions of Hilbert-Kunz multiplicity, On the existence of 𝐹-thresholds and related limits, $F$-singularities: applications of characteristic $p$ methods to singularity theory, \(D\)-modules, Bernstein-Sato polynomials and \(F\)-invariants of direct summands, Non-commutative resolutions of quotient singularities for reductive groups, The FFRT property of two-dimensional normal graded rings and orbifold curves, Differential operators on classical invariant rings do not lift modulo \(p\), Globalizing F-invariants, Purity of monoids and characteristic-free splittings in semigroup rings, Dual \(F\)-signature of Cohen-Macaulay modules over rational double points, Bernstein-Sato theory for singular rings in positive characteristic, Homogeneous coordinate rings as direct summands of regular rings, CONTINUITY OF HILBERT–KUNZ MULTIPLICITY AND F-SIGNATURE, Good filtrations and strong \(F\)-regularity of the ring of \(U_P\)-invariants, One-dimensional rings of finite F-representation type, F-signature function of quotient singularities, The existence of the \(F\)-signature for rings with large \(\mathbb Q\)-Gorenstein locus, -SIGNATURE UNDER BIRATIONAL MORPHISMS, Noetherian operators, primary submodules and symbolic powers, A Guided Tour to Normalized Volume, Non-commutative crepant resolutions of Hibi rings with small class group, Generalized \(F\)-signature of invariant subrings, Dimension, multiplicity, holonomic modules, and an analogue of the inequality of Bernstein for rings of differential operators in prime characteristic, A note on the use of Frobenius map and D-modules in local cohomology, \(F\)-signature and Hilbert-Kunz multiplicity: a combined approach and comparison, Primitive ideals of the ring of differential operators on a affine toric variety, Annihilators of local cohomology modules and simplicity of rings of differential operators, Dual \(F\)-signature of special Cohen-Macaulay modules over cyclic quotient surface singularities, Non-commutative resolutions of toric varieties, \(F\)-signature of pairs and the asymptotic behavior of Frobenius splittings, Tight closure, \(F\)-signature exists, The F-signature of an affine semigroup ring, On monotonicity of F-blowup sequences, Generators and defining relations for the ring of differential operators on a smooth affine algebraic variety in prime characteristic, Observations on the \(F\)-signature of local rings of characteristic \(p\), Local Okounkov bodies and limits in prime characteristic, \(F\)-invariants of Stanley-Reisner rings, Conic divisorial ideals of Hibi rings and their applications to non-commutative crepant resolutions, Looking out for Frobenius summands on a blown-up surface of \(\mathbb{P}^{2}\), Generalized \(F\)-signatures of Hibi rings, Bernstein-Sato theory for arbitrary ideals in positive characteristic, ON THE ASSOCIATED PRIMES OF LOCAL COHOMOLOGY, Symmetry on rings of differential operators, The symmetric signature, Bigness of the tangent bundle of del Pezzo surfaces and \(D\)-simplicity, Conic divisorial ideals and non-commutative crepant resolutions of edge rings of complete multipartite graphs, \(F\)-volumes, Differential symmetric signature in high dimension, FFRT properties of hypersurfaces and their F-signatures, Equimultiplicity theory of strongly \(F\)-regular rings, F-blowups of F-regular surface singularities, Differential operators on monomial rings, Quantifying singularities with differential operators, The Frobenius morphism in invariant theory. II, A remark on bigness of the tangent bundle of a smooth projective variety and D-simplicity of its section rings, On the limit of Frobenius in the Grothendieck group, Rings of Frobenius operators, Lower bounds on Hilbert–Kunz multiplicities and maximal F-signatures
