Differential operators on classical invariant rings do not lift modulo \(p\)
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Publication:6073601
DOI10.1016/j.aim.2023.109276arXiv2006.03029OpenAlexW3034134735MaRDI QIDQ6073601
Anurag K. Singh, Jack Jeffries
Publication date: 11 October 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.03029
Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Commutative rings of differential operators and their modules (13N10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)
Related Items (2)
Differential operators, retracts, and toric face rings ⋮ Homogeneous coordinate rings as direct summands of regular rings
Cites Work
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- Local cohomology modules supported at determinantal ideals
- Torsion in the crystalline cohomology of singular varieties
- Local cohomology modules of a smooth \(\mathbb{Z}\)-algebra have finitely many associated primes
- Complete reducibility of rational representations of a matric group
- The fundamental theorems of vector invariants
- A characteristic free approach to invariant theory
- The Frobenius morphism on a toric variety
- \(p\)-torsion elements in local cohomology modules
- Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
- The \(D\)-module structure of \(F\)-split rings
- Differential characters of abelian varieties over \(p\)-adic fields
- Bigness of the tangent bundle of del Pezzo surfaces and \(D\)-simplicity
- Quantifying singularities with differential operators
- Another proof of theorems of De Concini and Procesi
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
- Rings of differential operators on classical rings of invariants
- Invariants under tori of rings of differential operators and related topics
- Simplicity of Rings of Differential Operators in Prime Characteristic
- F-modules: applications to local cohomology and D-modules in characteristic p>0.
- Cusps and 𝒟-modules
- Liftability of Singularities and Their Frobenius Morphism Modulo $p^2$
- Lifting differential operators from orbit spaces
- Derived Functors of Differential Operators
- Bockstein homomorphisms in local cohomology
- Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
- DIFFERENTIAL OPERATORS ON A CUBIC CONE
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