Tame Covers and Cohomology of Relative Curves over Complete Discrete Valuation Rings, with Applications to the Brauer Group

Autor:	Brussel, Eric, Tengan, Eduardo
Rok vydání:	2011
Předmět:	Mathematics - Number Theory Mathematics - Algebraic Geometry Mathematics - Rings and Algebras 11G20 11R58 12G05 16K20 16K50
Druh dokumentu:	Working Paper
Popis:	We prove the existence of noncrossed product and indecomposable division algebras over the function field of a smooth p-adic curve, especially when the curve does not admit a smooth model over Z_p. Thus we generalize arXiv 0907.0670. To make our constructions, we investigate the lifting of cohomology classes from the total fraction ring of the closed fiber to the function field of the curve, over an arbitrary discrete valuation ring of mixed characteristic. Comment: This revision features a reorganized/expanded presentation, correction of minor inaccuracies, and changed numbering. We add a justification in the proof of Theorem 4.6 (old Theorem 14) that supports reduction to certain reduced rings (see Lemma 4.5), we make more observations on completely split characters, and we relax the "normal crossings type" hypothesis on the closed fiber
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1104.0439 Zobrazit plný text záznamu View this record from Arxiv