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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 formal Brauer groups, $K3$ surfaces in positive, characteristic, weighted Delsarte surfaces
MSC Classifications: 14L05, 14J28 show english descriptions Formal groups, $p$-divisible groups [See also 55N22]
$K3$ surfaces and Enriques surfaces
14L05 - Formal groups, $p$-divisible groups [See also 55N22]
14J28 - $K3$ surfaces and Enriques surfaces
 

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