伪Néron模型与截面约束II、推广、例子及应用
Pseudo-Néron Model and Restriction of Sections II, Generalization, Examples and Applications
摘要：
这是延续的文章，作者证明了更广泛的一类家庭承认定理的限制部分以外的阿贝尔簇，并给出了新的例子，伪Néron模型。在这项工作中，我们表明，在第一篇论文中的技术给出了更一般的结果和更多的例子，使定理的限制部分持有。同时，我们给出反例说明有理曲线的不存在不是这类定理的必要条件。作为应用，我们证明了一个与关于截面的结果相似的关于一定权的Hodge类的结果。
英文摘要：
This is the continuation of the article by the author that proves a broader class of families admitting the theorem of restriction of sections other than Abelian varieties and gives new examples of pseudo-Néron models. In this work, we show that the techniques in the first paper give more general results and more examples such that the theorem of restriction of sections holds. Also, we give counter examples to show that the non-existence of rational curves is not a necessary condition for such theorems. As an application, we prove a result for Hodge classes of a certain weight which is similar to the result about sections.
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。
