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arXiv · 1904.02324

$\ell$-independence of the trace of local monodromy in a relative case

Hiroki Kato
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Abstract

For a family of varieties, we prove that the alternating sum of the traces of "local" monodromy acting on the $\ell$-adic \'etale cohomology groups of the generic fiber is an integer which is independent of $\ell$.

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Hiroki Kato. 2019-04-04. $\ell$-independence of the trace of local monodromy in a relative case. https://arxiv.org/abs/1904.02324

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