1-动机和对偶的Neron模型
Neron models of 1-motives and duality
摘要：
本文给出了Dedekind格式上任意Deligne 1-motives的Neron模型的定义，推广了半阿贝尔簇的Neron模型.我们的Neron模型的关键属性是，他们满足推广的Grothendieck的对偶猜想在SGA 7时，剩余域的基础计划在封闭点是完美的。对于处处具有半稳定约化的1-模类，不需要关于剩余域的假设。一般来说，这种对偶性在反转残差特征后仍然成立。Neron模型的定义涉及到对格点部分的分歧及其与半交换部分的相互作用的仔细处理。这项工作是一个补充格罗滕迪克的哲学Neron模型的动机任意权重。
英文摘要：
In this paper, we propose a definition of Neron models of arbitrary Deligne 1-motives over Dedekind schemes, extending Neron models of semi-abelian varieties. The key property of our Neron models is that they satisfy a generalization of Grothendieck's duality conjecture in SGA 7 when the residue fields of the base scheme at closed points are perfect. The assumption on the residue fields is unnecessary for the class of 1-motives with semistable reduction everywhere. In general, this duality holds after inverting the residual characteristics. The definition of Neron models involves careful treatment of ramification of lattice parts and its interaction with semi-abelian parts. This work is a complement to Grothendieck's philosophy on Neron models of motives of arbitrary weights.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
