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Given an alternate scenario where a more powerful Carolingian/HRE entity is more involved in the Danish/Norwegians affaires of the 10th-11th centuries (maybe through dynastic ties), is it possible that the Imperial court would be aware of the Viking explorations in Greenland/Vinland and might decide to support them with money/men or launching their own exploration projects?

Which would be the consequences of boosting North American exploration by an European continental power (assuming is wealthy enough for such purposes)?
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