paper

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

arXiv:2207.00369

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.

36 pages. Minor edits. To appear in Invent. Math

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