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math.NT2018★ 1 cited
Galois representations associated with a non-selfdual automorphic representation of GL(3)
Tetsushi Ito, Teruhisa Koshikawa, Yoichi Mieda
In 1994, van Geemen and Top constructed a non-selfdual motive of rank three over conjecturally associated with a cuspidal non-selfdual automorphic representation of $\…
math.NT2018★ 6 cited
CM liftings of K3 surfaces over finite fields and their applications to the Tate conjecture
Kazuhiro Ito, Tetsushi Ito, Teruhisa Koshikawa
We give applications of integral canonical models of orthogonal Shimura varieties and the Kuga-Satake morphism to the arithmetic of K3 surfaces over finite fields. We prove every K…