TWO-TORSION OF THE BRAUER GROUPS OF HYPERELLIPTIC CURVES AND UNRAMIFIED ALGEBRAS OVER THEIR FUNCTION FIELDS

U. Rehmann Universität Bielefeld, POB 10 01 31, Bielefeld, 33615, Germany

S. V. Tikhonov Institute of Mathematics, National Academy of Sciences of Belarus, Surganova 11, Minsk, 220072, Belarus

V. I. Yanchevskii Institute of Mathematics, National Academy of Sciences of Belarus, Surganova 11, Minsk, 220072, Belarus

Abstract

We describe the 2-torsion part of the Brauer group of a hyperelliptic curve defined over an arbitrary field of characteristic different from 2 in terms of generators and relations.

ACKNOWLEDGMENTS

This work was supported by TMR ERB FMRX CT-97-0107. The second and the third authors are grateful to the University of Bielefeld for the hospitality during the preparation of the paper.

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TWO-TORSION OF THE BRAUER GROUPS OF HYPERELLIPTIC CURVES AND UNRAMIFIED ALGEBRAS OVER THEIR FUNCTION FIELDS

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TWO-TORSION OF THE BRAUER GROUPS OF HYPERELLIPTIC CURVES AND UNRAMIFIED ALGEBRAS OVER THEIR FUNCTION FIELDS

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ACKNOWLEDGMENTS

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