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Everything about D-module
Module over a sheaf of differential operators
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. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: D-moduleA 5-minute orientation
- Skim a recent paper: FourPhonon: An extension module to ShengBTE for computing four-phonon scattering rates and thermal conductivityInfluential work since 2022
- Pick up a classic book: The ARRL handbook for the radio amateurThe most-reprinted book on the subject
- Read the landmark paper: The Fusiform Face Area: A Module in Human Extrastriate Cortex Specialized for Face PerceptionCited 6,418 times
- Go sideways: Derived schemeA closely related topic
- Go sideways: Kähler differentialA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
The Fusiform Face Area: A Module in Human Extrastriate Cortex Specialized for Face Perception
On the temperature dependence of photovoltaic module electrical performance: A review of efficiency/power correlations
Fears, phobias, and preparedness: Toward an evolved module of fear and fear learning.
Local, Efflux-Dependent Auxin Gradients as a Common Module for Plant Organ Formation
Mitogen-Activated Protein Kinase: Conservation of a Three-Kinase Module From Yeast to Human
The DAVID Gene Functional Classification Tool: a novel biological module-centric algorithm to functionally analyze large gene lists
TRANSFAC(R) and its module TRANSCompel(R): transcriptional gene regulation in eukaryotes
The IκB-NF-κB Signaling Module: Temporal Control and Selective Gene Activation
🆕 Influential since 2022
FourPhonon: An extension module to ShengBTE for computing four-phonon scattering rates and thermal conductivity
Haar wavelet downsampling: A simple but effective downsampling module for semantic segmentation
The Preference Survey Module: A Validated Instrument for Measuring Risk, Time, and Social Preferences
A genetic module at one locus in rice protects chloroplasts to enhance thermotolerance
Recent progress in silicon photovoltaic module recycling processes
📚 Books worth reading
The ARRL handbook for the radio amateurAmerican Radio Relay League (ARRL) · 1926
Designing Software Synthesizer Plugins in C++Will C. Pirkle · 2014
RFID design fundamentals and applicationsAlbert Lozano-Nieto · 2011
Advanced Indium Arsenide-Based HEMT Architectures for Terahertz ApplicationsN. Mohankumar · 2021
A primer of algebraic D-modulesS. C. Coutinho · 1995
Regular and Irregular Holonomic D-ModulesMasaki Kashiwara, Pierre Schapira · 2016
Digital phase lock loopsSaleh R. Al-Araji · 2006
D-modules, perverse sheaves, and representation theoryR. Hotta, Ryoshi Hotta · 2004
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Derived scheme In algebraic geometry, a derived scheme is a homotopy-theoretic generalization of a scheme in which classical commutative rings are replaced with derived…
- Kähler differential In mathematics, Kähler differentials provide an adaptation of differential forms to arbitrary commutative rings or schemes. The notion was introduced by…
- Differential operator In mathematics, a differential operator is an operator defined as a function of the differentiation operator (which is an operation that accepts a function…
- Gelfand–Kirillov dimension In algebra, the Gelfand–Kirillov dimension (or GK dimension) of a right module M over a k-algebra A is: GKdim = sup V , M 0 lim sup n → ∞ log n dim k…
- André–Quillen cohomology In commutative algebra and algebraic geometry, André–Quillen cohomology is a cohomology theory for commutative rings and their modules, constructed using…
- Hochschild homology In mathematics, Hochschild homology (and cohomology) is a homology theory for associative algebras over rings. There is also a theory for Hochschild homology…
- Canonical bundle In mathematics, the canonical bundle of a non-singular algebraic variety V {\displaystyle V} of dimension n {\displaystyle n} over a field is the line…
- Cotangent bundle In mathematics, especially differential geometry, the cotangent bundle of a smooth manifold is the vector bundle of all the cotangent spaces at every point…