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The period-index problem for elliptic curves and the essential dimension of Picard stacks

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arxiv 2002.11814 v4 pith:VYR3Q4SL submitted 2020-02-26 math.AG

Anningzhe Gao This is my paper · ORCID
classification math.AG
keywords indexcurvesdifferentdimensionellipticessentialgenericperiod
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In this paper, we will consider the period index problems of elliptic curves and introduce a value called generic index which is closed related to the essential dimension of Picard stacks. In particular, we will use examples to see that usually the period and generic index are different. Our construction is different with Cassel's example.

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Cited by 3 Pith papers

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