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arXiv · 2206.05582

On the invariant cycle theorem for families of Nori motives

Amir Mostaed
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Abstract

In this paper, we prove a motivic enhancement of the theorem of the fixed part in Hodge theory due to Deligne. In the pure motivic case, this was done for the first time by Andr\'e in [And96]. Our main result is an extension to the mixed case, which strengthens a result by Arapura [Ara13] and also provides an alternative and simpler proof, in the framework of Nori motives, of a result by Ayoub [Ayo14].

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Amir Mostaed. 2022-06-11. On the invariant cycle theorem for families of Nori motives. https://arxiv.org/abs/2206.05582

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