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The Tate Conjecture for Cubic Fourfolds over a Finite Field

Published online by Cambridge University Press:  04 December 2007

Norman Levin
Affiliation:
IHES, 35 Route de Chartres, F91440 Bures-sur-Yvette, France. E-mail: Levin@math.umn.edu
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Abstract

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We prove the Tate conjecture for codimension 2 cycles on an ordinary cubic fourfold over a finite field. The proof involves the construction of canonical coordinates on the formal deformation space via a crystalline period map.

Type
Research Article
Copyright
© 2001 Kluwer Academic Publishers