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# A Note on the Height of the Formal Brauer Group of a $K3$ Surface

Published:2004-03-01
Printed: Mar 2004
• Yasuhiro Goto
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## Abstract

Using weighted Delsarte surfaces, we give examples of $K3$ surfaces in positive characteristic whose formal Brauer groups have height equal to $5$, $8$ or $9$. These are among the four values of the height left open in the article of Yui \cite{Y}.
 Keywords: formal Brauer groups, $K3$ surfaces in positive, characteristic, weighted Delsarte surfaces
 MSC Classifications: 14L05 - Formal groups, $p$-divisible groups [See also 55N22] 14J28 - $K3$ surfaces and Enriques surfaces

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