jvg@cage.ugent.be, tsv@im.bas-net.by , yanch@im.bas-net.by
Submission: 2011, Jan 30
Let F be a henselian valued field with real closed residue field, C a hyperelliptic curve over F with good reduction. A set of independend generators for the two component of the Brauer group of C is calculated. As an application it is shown that the Pythagoras number of the function field F(C) of such curves is 2 if F(C) is a real field and 3 if F(C) is a non-real field.
2010 Mathematics Subject Classification:
Keywords and Phrases:
Full text: dvi.gz 26 k, dvi 61 k, ps.gz 868 k, pdf.gz 150 k, pdf 171 k.