rank F
The rank of a flat $F$ is the codimension of the intersection of the hyperplanes containing $F$ (i.e. whose indices are in $F$).
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The source of this document is in /build/reproducible-path/macaulay2-1.25.06+ds/M2/Macaulay2/packages/HyperplaneArrangements.m2:1596:0.