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Galois Groups and Fundamental Groups by Tamás Szamuely

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Remark 5.8.11 The exact sequence of the corollary also holds for = p. In fact, an argument of Raynaud in flat cohomology (see [59], Proposition III.4.16) implies that there are isomorphisms Hom( (X), Z /mZ) Hom(µm, Pic X) for all m > 0. The rest of the proof then goes through. Consequently, the whole torsion subgroup of (X) is finite, and the quotient ...

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