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 ℓ-adic setting, which we adapt using homotopical results developed in the context of rigid analytic motives.
On the $p$-adic weight-monodromy conjecture for complete intersections in toric varieties / F. Binda, H. Kato, A. Vezzani. - In: INVENTIONES MATHEMATICAE. - ISSN 0020-9910. - (2025), pp. 1-45. [Epub ahead of print] [10.1007/s00222-025-01344-x]
On the $p$-adic weight-monodromy conjecture for complete intersections in toric varieties
F. BindaPrimo
;A. Vezzani
Ultimo
2025
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 ℓ-adic setting, which we adapt using homotopical results developed in the context of rigid analytic motives.
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