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Algorithms for D-modules — restriction, tensor product, localization, and local cohomology groups

✍ Scribed by Toshinori Oaku; Nobuki Takayama


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
310 KB
Volume
156
Category
Article
ISSN
0022-4049

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✦ Synopsis


We consider an algebraic D-module M on the a ne space, i.e. a system of linear partial di erential equations with polynomial coe cients. We give an algorithm for computing the cohomology groups of the restriction of M to a linear subvariety by using a free resolution of M adapted to the V -ÿltration. Our algorithm works, at least, if M is holonomic. As applications, we obtain algorithms for computing tensor product, localization, and algebraic local cohomology groups of holonomic systems.


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