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REFINED MOTIVIC DIMENSION OF SOME FERMAT VARIETIES

Published online by Cambridge University Press:  25 November 2015

SU-JEONG KANG*
Affiliation:
Department of Mathematics and Computer Science, Providence College, Providence, RI 02918, USA email skang2@providence.edu
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Abstract

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Using the inductive structure of a Fermat variety by Shioda and Katsura [‘On Fermat varieties’, Tohoku Math. J. (2) 31(1) (1979), 97–115], we estimate the refined motivic dimension of certain Fermat varieties. As an application of our computation, we present an elementary proof of the generalised Hodge conjecture for those varieties.

Type
Research Article
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

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