scientific article; zbMATH DE number 627436
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Publication:4304755
zbMath0816.35004MaRDI QIDQ4304755
Publication date: 10 July 1995
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\({\mathcal D}\)-moduleshomological dimensionalgebraic theory of systems of partial differential equations in the complex domain
Cauchy-Kovalevskaya theorems (35A10) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)
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$$D$$ -modules, contact valued calculus and Poincare-Cartan form ⋮ Rigid dualizing complex for quantum enveloping algebras and algebras of generalized differential operators ⋮ The universal de Rham / Spencer double complex on a supermanifold ⋮ Koszul-Tate resolutions as cofibrant replacements of algebras over differential operators ⋮ Duality features of left Hopf algebroids ⋮ The Cauchy problem with logarithmic ramifications for \({\mathcal D}\)-modules ⋮ Leray's quantization of projective duality ⋮ Representations of Homotopy Lie–Rinehart Algebras ⋮ Histories and observables in covariant field theory ⋮ An inverse image functor for Lie algebroids. ⋮ Andreotti-Norguet correspondence and \(\mathcal D\)-modules ⋮ Grassmann duality for -modules
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