The option CheckSmooth is only used by the commands CSM and only when computing the CSM class of a toric variety. It is set to true by default. When true it will check if the toric variety is smooth before proceeding, if it is this will speed up computation; however checking for smoothness does take some time.
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The object CheckSmooth is a symbol.
The source of this document is in /build/reproducible-path/macaulay2-1.25.05+ds/M2/Macaulay2/packages/CharacteristicClasses.m2:2477:0.