The Tate conjecture for powers of ordinary cubic fourfolds over finite fields |
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| Authors: | Yuri G Zarhin |
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| Institution: | a Department of Mathematics, Eberly College of Science, The Pennsylvania State University, University Park, PA 16802, USA
b Institute for Mathematical Problems in Biology, Russian Academy of Sciences, Pushchino, Moscow Region, Russia |
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| Abstract: | Recently, Levin proved the Tate conjecture for ordinary cubic fourfolds over finite fields. In this paper, we prove the Tate conjecture for self-products of ordinary cubic fourfolds. Our proof is based on properties of so-called polynomials of K3-type introduced by the author about 12 years ago. |
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| Keywords: | Cubic fourfolds K3 surfaces Finite fields Algebraic cycles |
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