The \(D\)-module structure of \(F\)-split rings
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Publication:1902230
DOI10.4310/MRL.1995.v2.n4.a1zbMath0848.13010MaRDI QIDQ1902230
Publication date: 16 November 1995
Published in: Mathematical Research Letters (Search for Journal in Brave)
Integral closure of commutative rings and ideals (13B22) Commutative Noetherian rings and modules (13E05) Commutative rings of differential operators and their modules (13N10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)
Related Items (18)
Nash blowups in prime characteristic ⋮ Bernstein-Sato Polynomials in Commutative Algebra ⋮ \(D\)-modules, Bernstein-Sato polynomials and \(F\)-invariants of direct summands ⋮ \(F\)-jumping and \(F\)-Jacobian ideals for hypersurfaces ⋮ Differential operators on classical invariant rings do not lift modulo \(p\) ⋮ Bernstein-Sato theory for singular rings in positive characteristic ⋮ Homogeneous coordinate rings as direct summands of regular rings ⋮ Dimension, multiplicity, holonomic modules, and an analogue of the inequality of Bernstein for rings of differential operators in prime characteristic ⋮ Non-commutative resolutions of toric varieties ⋮ Centers of \(F\)-purity ⋮ Generators and defining relations for the ring of differential operators on a smooth affine algebraic variety in prime characteristic ⋮ Symmetry on rings of differential operators ⋮ Bigness of the tangent bundle of del Pezzo surfaces and \(D\)-simplicity ⋮ Tight closure and differential simplicity ⋮ Test ideals in quotients of $F$-finite regular local rings ⋮ Differential operators on monomial rings ⋮ Quantifying singularities with differential operators ⋮ A remark on bigness of the tangent bundle of a smooth projective variety and D-simplicity of its section rings
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