Bounding the symbol length in the Galois cohomology of function fields of $p$-adic curves | Zendy

Venapally Suresh | Zendy

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Bounding the symbol length in the Galois cohomology of function fields of $p$-adic curves

Author(s) -

Venapally Suresh

Publication year - 2010

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.4171/cmh/198

Subject(s) - mathematics , galois cohomology , symbol (formal) , cohomology , bounding overwatch , étale cohomology , galois module , pure mathematics , function field , galois group , function (biology) , discrete mathematics , field (mathematics) , group cohomology , artificial intelligence , evolutionary biology , computer science , biology , programming language

Let K be a function field of a p-adic curve and l a prime not equal to p. Assume that K contains a primitive l th root of unity. We show that every element in the l-torsion subgroup of the Brauer group of K is a tensor product of two cyclic algebras over K.

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