On Saltman’s p-adic Curves Papers
نویسنده
چکیده
These notes are based on Saltman’s seminal work on the Brauer group Br(K) of the function field K of a p-adic curve XQp . In [S1] and [S2], Saltman showed the index of an element in the prime-to-p part of Br(K) divides the square of its period, and that all division algebras of prime degree q 6= p are cyclic. He also gave a geometric criterion for a class of prime period q 6= p to have index q. We reprove these theorems, modulo some of [S2, Section 1], expanding some proofs, consolidating some results, and providing some additional background.
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تاریخ انتشار 2011