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

Published online by Cambridge University Press:  20 November 2018

Yasuhiro Goto
Yasuhiro Goto*
Affiliation:
Department of Mathematics Hokkaido University of Education 1-2 Hachiman-cho Hakodate 040-8567 Japan, e-mail: ygoto@cc.hokkyodai.ac.jp
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Abstract

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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 [11].

Keywords

14L0514J28formal Brauer groupsK3 surfaces in positive characteristicweighted Delsarte surfaces
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 1 , 01 March 2004 , pp. 22 - 29
Copyright
Copyright © Canadian Mathematical Society 2004

References

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