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arXiv · 2207.00369

On the p-adic weight-monodromy conjecture for complete intersections in toric varieties

Federico Binda·Hiroki Kato·Alberto Vezzani
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Abstract

We give a proof of the $p$-adic weight monodromy conjecture for scheme-theoretic complete intersections in projective smooth toric varieties. The strategy is based on Scholze's proof in the $\ell$-adic setting, which we adapt using homotopical results developed in the context of rigid analytic motives.

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Federico Binda, Hiroki Kato, Alberto Vezzani. 2022-07-01. On the p-adic weight-monodromy conjecture for complete intersections in toric varieties. https://arxiv.org/abs/2207.00369

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