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arXiv · 2312.13262

Images of abelian schemes

Jeff Achter·Sebastian Casalaina-Martin·Jonathan Wise
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Abstract

We provide some conditions for the image of a morphism of abelian schemes to again be an abelian scheme. For context, in characteristic 0, the image is always an abelian scheme; in mixed and positive characteristic the image can fail to be an abelian scheme, and so it is in this setting that the conditions we provide are pertinent.

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Jeff Achter, Sebastian Casalaina-Martin, Jonathan Wise. 2023-12-20. Images of abelian schemes. https://arxiv.org/abs/2312.13262

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