Abel 概形的像
代数几何
2024-12-20 v2
摘要
我们给出了 Abel 概形态射的像仍为 Abel 概形的一些条件。作为背景,在特征 0 中,该像始终是 Abel 概形;在混合特征与正特征中,该像可能不再是 Abel 概形,因此正是在这种设定下,我们提供的条件是切题的。
引用
@article{arxiv.2312.13262,
title = {Images of abelian schemes},
author = {Jeff Achter and Sebastian Casalaina-Martin and Jonathan Wise},
journal= {arXiv preprint arXiv:2312.13262},
year = {2024}
}
备注
Complete rewrite with additional coauthor. Patrick Brosnan alerted us to a serious flaw in the first version. New version gives conditions on the base when the image of an abelian scheme is, or is not, necessarily an abelian scheme