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Sep 14, 2019 at 14:10 comment added Angelo This is certainly false for families of abelian varieties: subvarieties of abelian varieties cannot be deformed. I am not sure about the affine case.
Sep 12, 2019 at 21:00 comment added Lin Chen I mean that there exists a Zariski cover $S'\to S$ such that the base change $H\times_S S'$ is isomorphic to $H_0 \times S'$ (for an algebraic group $H_0$ over the base field) as group schemes over $S'$.
Sep 12, 2019 at 20:09 comment added Laurent Moret-Bailly New contributor, welcome! I am not sure I understand what you mean by "constant".
Sep 12, 2019 at 18:20 review First posts
Sep 12, 2019 at 19:12
Sep 12, 2019 at 18:19 history asked Lin Chen CC BY-SA 4.0