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3 votes
1 answer
217 views

How to cook up an Artin motive from a positive-dimensional variety

I am trying to make sense of the paper "Eigenvalues of Frobenius and Hodge Numbers" (Kisin--Lehrer). I have not succeeded after some hours of intent staring at the screen. In the proof of Corollary ...
m_for_motive's user avatar
4 votes
0 answers
477 views

Why is the Hodge conjecture equivalent to the assertion that $ \mathcal{R}_{ \mathrm{Hodge} } $ is fully faithfull?

On pages 17 and 18 of the following document: https://www.math.tifr.res.in/~sujatha/ihes.pdf, we find the following paragraph: Let $ \mathbb{Q} \mathrm{HS}$ be the category of pure Hodge structures ...
YoYo's user avatar
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