Macaulay2 / Macaulay2/M2

D-modules over Rational Function Field

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WeylAlgebras
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Macaulay2
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Description

@antonleykin @mikestillman what are the changes needed to support working with D-modules over rational function fields? I think this is a theoretically sensible ring to work in (derivatives of rational functions are rational functions), and for instance Theorem 1.4.22 in the Grobner Deformations book discusses Grobner bases over rational function fields, so there are applications for this as well. Can you think of any particular dangers to be aware of?

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Research direction

The issue asks what changes and risks are involved in supporting D-modules over rational function fields, but names no files, tests, or entry points. First map the existing D-module and rational-function-field support, then define the required behavior and validation before implementation.

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Assessment

Domain
backend
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
20/100

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