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PolyhedralGeometry: more operators on fans and complexes #4444

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YueRen wants to merge 1 commit into master from yr/PolyhedralOperators

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YueRen commented Jan 10, 2025 •

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This draft pull request comes from the Leipzig Workshop aims to add the following new operations:

Scalar * PolyhedralFan and PolyhedralFan * Scalar
Scalar * PolyhedralComplex and PolyhedralFan * Scalar
-PolyhedralFan
-PolyhedralComplex
Vector + PolyhedralFan and PolyhedralFan + Vector
Vector + PolyhedralComplex and PolyhedralComplex + Vector

Questions:

Do we want these functions? My collaborators and I need it for various reasons:

negation is useful to construct the negated Bergman fan of a matroid (arises for example here)
translation is useful to see how the initial ideals of the tropical intersection points vary (relevant for example for this)

(If yes, I will add the relevant operators for Cone, the operators for Polyhedron already exist)

Is the implementation okay (in particular, I wasn't 100% sure where to put the functions)?


          PolyhedralGeometry: more operators on fans and complexes

lgoettgens added the topic: polyhedral geometry label

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topic: polyhedral geometry