Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/D-module> ?p ?o }
- D-module abstract "In mathematics, a D-module is a module over a ring D of differential operators. The major interest of such D-modules is as an approach to the theory of linear partial differential equations. Since around 1970, D-module theory has been built up, mainly as a response to the ideas of Mikio Sato on algebraic analysis, and expanding on the work of Sato and Joseph Bernstein on the Bernstein–Sato polynomial.Early major results were the Kashiwara constructibility theorem and Kashiwara index theorem of Masaki Kashiwara. The methods of D-module theory have always been drawn from sheaf theory and other techniques with inspiration from the work of Alexander Grothendieck in algebraic geometry. The approach is global in character, and differs from the functional analysis techniques traditionally used to study differential operators. The strongest results are obtained for over-determined systems (holonomic systems), and on the characteristic variety cut out by the symbols, in the good case for which it is a Lagrangian submanifold of the cotangent bundle of maximal dimension (involutive systems). The techniques were taken up from the side of the Grothendieck school by Zoghman Mebkhout, who obtained a general, derived category version of the Riemann–Hilbert correspondence in all dimensions.".
- D-module wikiPageExternalLink Bernstein-dmod.pdf.
- D-module wikiPageExternalLink catO.pdf.
- D-module wikiPageExternalLink Hotta.pdf.
- D-module wikiPageExternalLink ~milicic.
- D-module wikiPageID "3440755".
- D-module wikiPageLength "16246".
- D-module wikiPageOutDegree "101".
- D-module wikiPageRevisionID "659902183".
- D-module wikiPageWikiLink Academic_Press.
- D-module wikiPageWikiLink Affine_space.
- D-module wikiPageWikiLink Alexander_Grothendieck.
- D-module wikiPageWikiLink Algebraic_analysis.
- D-module wikiPageWikiLink Algebraic_geometry.
- D-module wikiPageWikiLink Algebraic_variety.
- D-module wikiPageWikiLink Annihilator_(ring_theory).
- D-module wikiPageWikiLink Artin-Rees_lemma.
- D-module wikiPageWikiLink Artin–Rees_lemma.
- D-module wikiPageWikiLink Bernstein–Sato_polynomial.
- D-module wikiPageWikiLink Cambridge_University_Press.
- D-module wikiPageWikiLink Category:Algebraic_analysis.
- D-module wikiPageWikiLink Category:Partial_differential_equations.
- D-module wikiPageWikiLink Category:Sheaf_theory.
- D-module wikiPageWikiLink Chain_rule.
- D-module wikiPageWikiLink Characteristic_(algebra).
- D-module wikiPageWikiLink Characteristic_variety.
- D-module wikiPageWikiLink Closed_immersion.
- D-module wikiPageWikiLink Coherent_sheaf.
- D-module wikiPageWikiLink Commutative_algebra.
- D-module wikiPageWikiLink Commutator.
- D-module wikiPageWikiLink Connection_(vector_bundle).
- D-module wikiPageWikiLink Cotangent_bundle.
- D-module wikiPageWikiLink Derived_category.
- D-module wikiPageWikiLink Derived_functor.
- D-module wikiPageWikiLink Differential_algebra.
- D-module wikiPageWikiLink Differential_form.
- D-module wikiPageWikiLink Differential_operator.
- D-module wikiPageWikiLink Equivalence_of_categories.
- D-module wikiPageWikiLink Exact_functor.
- D-module wikiPageWikiLink Exterior_algebra.
- D-module wikiPageWikiLink Exterior_power.
- D-module wikiPageWikiLink Field_(mathematics).
- D-module wikiPageWikiLink Filtration_(algebra).
- D-module wikiPageWikiLink Filtration_(mathematics).
- D-module wikiPageWikiLink Finitely_generated_module.
- D-module wikiPageWikiLink Frobenius_theorem_(differential_topology).
- D-module wikiPageWikiLink Functional_analysis.
- D-module wikiPageWikiLink Global_dimension.
- D-module wikiPageWikiLink Global_homological_dimension.
- D-module wikiPageWikiLink Graded_ring.
- D-module wikiPageWikiLink Group_action.
- D-module wikiPageWikiLink Hilbert_polynomial.
- D-module wikiPageWikiLink Hilbert_series_and_Hilbert_polynomial.
- D-module wikiPageWikiLink Holonomic_constraints.
- D-module wikiPageWikiLink Holonomic_system.
- D-module wikiPageWikiLink Homological_algebra.
- D-module wikiPageWikiLink Ideal_(algebra).
- D-module wikiPageWikiLink Ideal_(ring_theory).
- D-module wikiPageWikiLink Image_functors_for_sheaves.
- D-module wikiPageWikiLink Integer-valued_polynomial.
- D-module wikiPageWikiLink Inventiones_Mathematicae.
- D-module wikiPageWikiLink Involutive_system.
- D-module wikiPageWikiLink Joseph_Bernstein.
- D-module wikiPageWikiLink Kashiwara_constructibility_theorem.
- D-module wikiPageWikiLink Kashiwara_index_theorem.
- D-module wikiPageWikiLink Kazhdan–Lusztig_conjecture.
- D-module wikiPageWikiLink Kazhdan–Lusztig_polynomial.
- D-module wikiPageWikiLink Lagrangian_submanifold.
- D-module wikiPageWikiLink Left_module.
- D-module wikiPageWikiLink Leibniz_rule.
- D-module wikiPageWikiLink Leibnizs_rule.
- D-module wikiPageWikiLink Length_of_a_module.
- D-module wikiPageWikiLink Lie_derivative.
- D-module wikiPageWikiLink Line_bundle.
- D-module wikiPageWikiLink Linear_partial_differential_equation.
- D-module wikiPageWikiLink Locally_free_sheaf.
- D-module wikiPageWikiLink Masaki_Kashiwara.
- D-module wikiPageWikiLink Mathematics.
- D-module wikiPageWikiLink Mikio_Sato.
- D-module wikiPageWikiLink Module_(mathematics).
- D-module wikiPageWikiLink Morphism_of_algebraic_varieties.
- D-module wikiPageWikiLink Morphism_of_schemes.
- D-module wikiPageWikiLink Multi-index_notation.
- D-module wikiPageWikiLink Multiindex_notation.
- D-module wikiPageWikiLink Noetherian_ring.
- D-module wikiPageWikiLink Numerical_polynomial.
- D-module wikiPageWikiLink Order_of_a_differential_operator.
- D-module wikiPageWikiLink Over-determined_system.
- D-module wikiPageWikiLink Overdetermined_system.
- D-module wikiPageWikiLink Partial_derivative.
- D-module wikiPageWikiLink Partial_differential_equation.
- D-module wikiPageWikiLink Partial_differentiation.
- D-module wikiPageWikiLink Perverse_sheaf.
- D-module wikiPageWikiLink Polynomial_ring.
- D-module wikiPageWikiLink Radical_of_an_ideal.
- D-module wikiPageWikiLink Regular_function.
- D-module wikiPageWikiLink Regular_local_ring.
- D-module wikiPageWikiLink Regular_ring.
- D-module wikiPageWikiLink Regular_system_of_parameters.
- D-module wikiPageWikiLink Riemann–Hilbert_correspondence.