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Minimal Free Resolutions of HomogenizedD-modules

✍ Scribed by Toshinori Oaku; Nobuki Takayama

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 330 KB
Volume: 32
Category: Article
ISSN: 0747-7171
DOI: 10.1006/jsco.2001.0484

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✦ Synopsis

Homogenizing a module over the ring of differential operators, we define the notion of a minimal free resolution that is adapted to a filtration. We show that one can apply a modification of the algorithm of La Scala and Stillman to compute such a free resolution. By dehomogenization, one gets a free resolution of the original module that is small enough to compute, e.g. its restriction and integration. We have implemented our algorithm in a computer algebra system Kan and give examples by using this implementation.

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