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

Fuente: arXiv
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Autori principali: Binda, Federico, Kato, Hiroki, Vezzani, Alberto
Natura: Preprint
Pubblicazione: 2022
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author Binda, Federico
Kato, Hiroki
Vezzani, Alberto
author_facet Binda, Federico
Kato, Hiroki
Vezzani, Alberto
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2207_00369
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle On the p-adic weight-monodromy conjecture for complete intersections in toric varieties
Binda, Federico
Kato, Hiroki
Vezzani, Alberto
Algebraic Geometry
K-Theory and Homology
Number Theory
14F30, 14F42, 14G22, 14G45
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.
title On the p-adic weight-monodromy conjecture for complete intersections in toric varieties
topic Algebraic Geometry
K-Theory and Homology
Number Theory
14F30, 14F42, 14G22, 14G45
url https://arxiv.org/abs/2207.00369