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Clarify the docu for move_divisor.
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HechtiDerLachs authored Nov 27, 2024
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3 changes: 1 addition & 2 deletions src/AlgebraicGeometry/Schemes/Divisors/WeilDivisor.jl
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Expand Up @@ -738,8 +738,7 @@ end
Given an `AbsWeilDivisor` `D` on a scheme `X`, apply a heuristic attempt
to create a principal divisor `div(f)` for some rational function,
so that the support of the divisor `D - div(f)` does not contain the
generic scheme-theoretic points in the support of `D`.
so that `supp(D - div(f)) ∩ supp(D)` has codimension greater or equal to `2`. In other words: We try to move `D` away from its original position as much as possible within its rational equivalence class.
Note that `supp(D - div(f)) ∩ supp(D)` need not be empty! The point is that
the minimal associated primes of the support of `D - div(f)` should be different
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