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Comparing the Brauer group and the Tate Shafarevich group. (arXiv:1712.06249v1 [math.AG])

来源于:arXiv
We give a formula relating the order of the Brauer group of a surface fibered over a curve over a finite field to the order of the Tate-Shafarevich group of the Jacobian of the generic fiber. Our result extends the results of Grothendieck, Milne and Gonzalez-Aviles and corrects the formula of Liu, Lorenzini and Raynaud. 查看全文>>