As usual with schemes, the points of a group scheme are not the whole story. For example, a group scheme may have only one point over its field of definition and yet not be trivial. The points of the underlying topological space do not form a group under the obvious choice for a group law.
We can view a group scheme as a “group machine”: given a ring , the set of -points of forms a group. If is a scheme that is not affine, we can nevertheless interpret as a family of groups fibred over .
|Date of creation||2013-03-22 14:11:13|
|Last modified on||2013-03-22 14:11:13|
|Last modified by||archibal (4430)|