Recent progress on the Tate conjecture
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- by Burt Totaro PDF
- Bull. Amer. Math. Soc. 54 (2017), 575-590
Abstract:
We survey the history of the Tate conjecture on algebraic cycles. The conjecture is closely related with other big problems in arithmetic and algebraic geometry, including the Hodge and Birch–Swinnerton-Dyer conjectures. We conclude by discussing the recent proof of the Tate conjecture for K3 surfaces over finite fields.References
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Additional Information
- Burt Totaro
- Affiliation: UCLA Mathematics Department, Box 951555, Los Angeles, CA 90095-1555
- MR Author ID: 272212
- Email: totaro@math.ucla.edu
- Received by editor(s): May 30, 2017
- Published electronically: June 16, 2017
- Additional Notes: This work was supported by NSF grant DMS-1303105.
- © Copyright 2017 by the author
- Journal: Bull. Amer. Math. Soc. 54 (2017), 575-590
- MSC (2010): Primary 14C25; Secondary 14F20, 14G15, 14J28
- DOI: https://doi.org/10.1090/bull/1588
- MathSciNet review: 3683625