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

1998/05/02 by Toshinori Oaku, Oaku, Toshinori, Nobuki Takayama +1 · 1 citation
Mathematics · #14F40 #14Q99 #55N30 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14F40 #msc:14Q99 #msc:55N30

paper · pdf · doi:10.48550/arxiv.math/9805006

arxiv created 1998/05/02 · arxiv updated 2009/11/30

Abstract

We describe algorithms for computing various functors for algebraic D-modules, i.e. systems of linear partial differential equations with polynomial coefficients. We will give algorithms for restriction, tensor product, localization, and local cohomology groups for all degrees.

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