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Published in:
1990 | OriginalPaper | Chapter
Néron Models of Not Necessarily Proper Algebraic Groups
Published in: Néron Models
Included in: Professional Book Archive
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For this last chapter we introduce a new type of Néron models, so-called Néron 1ft-models. To define them, we modify the definition of Néron models by dropping the condition that they are of finite type. Then, due to the smoothness, Néron lft-models are locally of finite type. This is the reason why we use the abbreviation “lft”. For example, tori do admit Néron lft-models whereas, for non-zero split tori, Néron models (in the original sense) do not exist.