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Does there exist a group scheme of finite type over a field $k$ , which is neither affine (i.e. a linear algebraic group), nor an abelian variety?

Does there exist a group scheme of finite type over a field $k$ , which is neither affine (i.e. a linear algebraic group), nor an abelian variety?

Does there exist a group scheme of finite type over a field $k$ , which is neither affine, nor an abelian variety?

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Amritanshu Prasad
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group scheme neither affine, nor an abelian variety

Does there exist a group scheme of finite type over a field $k$ , which is neither affine (i.e. a linear algebraic group), nor an abelian variety?