The period-index problem for elliptic curves and the essential dimension of Picard stacks
Algebraic Geometry
2020-10-12 v4
Abstract
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.
Cite
@article{arxiv.2002.11814,
title = {The period-index problem for elliptic curves and the essential dimension of Picard stacks},
author = {Anningzhe Gao},
journal= {arXiv preprint arXiv:2002.11814},
year = {2020}
}
Comments
Add the reference for the genericity theorem of $G_m$ gerbes