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arxiv: 1306.5691 · v1 · pith:NJGNNW7Jnew · submitted 2013-06-24 · 🧮 math.NT

Height of motives

classification 🧮 math.NT
keywords heightmotivestateadicassumeboundedconjecturedefine
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We define the height of a motive over a number field. We show that if we assume the finiteness of motives of bounded height, Tate conjecture for the $p$-adic Tate module can be proved for motives with good reduction at $p$.

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