Open AccessFormal constructions in the Brauer group of the function field of a đť‘ť-adic curve
Author(s) -
Eric Brussel,
Eduardo Tengan
Publication year - 2014
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/s0002-9947-2014-06154-0
Subject(s) - mathematics , indecomposable module , cohomology , field (mathematics) , function (biology) , function field , algebra over a field , pure mathematics , evolutionary biology , biology
We study the relationship between the cohomology of the function field of a curve over a complete discretely valued field and that of the function ring of curves resulting over its residue field. The results are applied to prove the existence of noncrossed product division algebras and indecomposable division algebras of unequal period and index over the function field of any p-adic curve, generalizing the results and methods of a previous work of the authors and McKinnie.CNPq (grant 303817/2011-9