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Mar 31, 2010 at 16:17 comment added George McNinch I thought that was probably the case. Note that if S is a scheme and G --> S a group scheme, one says simply that G is reductive if it is affine and smooth over S, and if all its geometric fibers are connected reductive [SGA3 Tome 3]
Mar 25, 2010 at 19:25 comment added natura ah sorry, when I say geometrically-reductive, I meant that all geometric fiber are reductive groups...
Mar 24, 2010 at 20:24 history answered George McNinch CC BY-SA 2.5