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

• 成果类型: Article
• 署名作者: Binda, Federico; Kato, Hiroki; Vezzani, Alberto
• 署名单位: University of Milan; Universite Paris Saclay
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-025-01344-x
• 发表日期: 2025
• 页码: 559-603
• 关键词: compactly supported cohomology; semi-stable reduction; finiteness result; crystalline cohomology; etale cohomology; K-THEORY; motives; THEOREM

摘要

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.