map(P,X,L)
Accepts both Grothendieck-style and Fulton-style ${\mathbb P}(E)$, but in the case a decision cannot be made based on ranks (i.e. when $E$ has rank $2$), defaults to Fulton-style notation (so ${\mathbb P}(E)$ is the space of sub-line-bundles of $E$).
Does not check whether $L$ is basepoint-free. Weird results are probably possible if $L$ is not.
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The source of this document is in /build/reproducible-path/macaulay2-1.25.06+ds/M2/Macaulay2/packages/Schubert2.m2:1857:0.