On the p-adic weight-monodromy conjecture for complete intersections in toric varieties
Algebraic Geometry
2025-06-11 v2 K-Theory and Homology
Number Theory
Abstract
We give a proof of the -adic weight monodromy conjecture for scheme-theoretic complete intersections in projective smooth toric varieties. The strategy is based on Scholze's proof in the -adic setting, which we adapt using homotopical results developed in the context of rigid analytic motives.
Cite
@article{arxiv.2207.00369,
title = {On the p-adic weight-monodromy conjecture for complete intersections in toric varieties},
author = {Federico Binda and Hiroki Kato and Alberto Vezzani},
journal= {arXiv preprint arXiv:2207.00369},
year = {2025}
}
Comments
36 pages. Minor edits. To appear in Invent. Math