The Brauer group of a curve over a strictly local discrete valuation ring | Zendy

Timothy J. Ford | Zendy

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The Brauer group of a curve over a strictly local discrete valuation ring

Author(s) -

Timothy J. Ford

Publication year - 1996

Publication title -

israel journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.168

H-Index - 63

eISSN - 1565-8511

pISSN - 0021-2172

DOI - 10.1007/bf02785542

Subject(s) - mathematics , brauer group , algebraically closed field , division algebra , valuation ring , division ring , discrete valuation , pure mathematics , exponent , algebra over a field , central simple algebra , discrete valuation ring , valuation (finance) , group (periodic table) , division (mathematics) , field (mathematics) , discrete mathematics , algebra representation , arithmetic , linguistics , philosophy , chemistry , organic chemistry , finance , economics

LetK be the field of fractions of a curve overR whereR is the henselization of a regular local ring on an algebraic curve over a field which is algebraically closed and has characteristic 0. ThenK has the exponent=degree property for division algebras. In fact every central finite dimensionalK-division algebra with exponentn is a cyclic algebra of degreen.

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