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This is the continuation of the article by the author that proves a broaderclass of families admitting the theorem of restriction of sections other thanAbelian varieties and gives new examples of pseudo-N\'eron models. In thiswork, we show that the techniques in the first paper give more general resultsand 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 isnot a necessary condition for such theorems. As an application, we prove aresult for Hodge classes of a certain weight which is similar to the resultabout sections.

Pseudo-N\'eron Model and Restriction of Sections II, Generalization, Examples and Applications