Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-20T14:51:47.575Z Has data issue: false hasContentIssue false

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
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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