TY - JOUR
T1 - The Tate conjecture for powers of ordinary cubic fourfolds over finite fields
AU - Zarhin, Y. G.
N1 - Funding Information:
$Partially supported by the NSF. ·Department of Mathematics, Eberly College of Science, The Pennsylvania State University, Room 325, McAllister Building, University Park, PA 16802, USA. E-mail address: [email protected].
PY - 2004/9
Y1 - 2004/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=4344586993&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4344586993&partnerID=8YFLogxK
U2 - 10.1016/j.jnt.2004.04.006
DO - 10.1016/j.jnt.2004.04.006
M3 - Article
AN - SCOPUS:4344586993
SN - 0022-314X
VL - 108
SP - 44
EP - 59
JO - Journal of Number Theory
JF - Journal of Number Theory
IS - 1
ER -