On the padic weightmonodromy conjecture for complete intersetions in toric varieties
Abstract
We give a proof of the $p$adic weight monodromy conjecture for schemetheoretic 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.
 Publication:

arXiv eprints
 Pub Date:
 July 2022
 DOI:
 10.48550/arXiv.2207.00369
 arXiv:
 arXiv:2207.00369
 Bibcode:
 2022arXiv220700369B
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  KTheory and Homology;
 Mathematics  Number Theory;
 14F30;
 14F42;
 14G22;
 14G45
 EPrint:
 35 pages