kunyav@macs.biu.ac.il, rowen@macs.biu.ac.il, tsv@im.bas-net.by, yanch@im.bas-net.by

Submission: 2004, Oct 25

Let k be an algebraically closed field of characteristic 0. We prove that any division algebra over k(x,y) whose ramification locus lies on a quartic curve is cyclic.

2000 Mathematics Subject Classification: 16K20; 16K50; 14F22

Keywords and Phrases: division algebra; ramification; Brauer group

Full text: dvi.gz 20 k, dvi 44 k, ps.gz 715 k, pdf.gz 130 k, pdf 149 k.

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