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

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.