Geodesic
On a torsion analogue of the weight-monodromy conjecture
Documenta mathematica, Tome 26 (2021), pp. 1729-1770.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We formulate and study a torsion analogue of the weight-monodromy conjecture for a proper smooth scheme over a non-archimedean local field. We prove it for proper smooth schemes over equal characteristic non-archimedean local fields, abelian varieties, surfaces, varieties uniformized by Drinfeld upper half spaces, and set-theoretic complete intersections in projective smooth toric varieties. In the equal characteristic case, our methods rely on an ultraproduct variant of Weil II established by Cadoret.
Classification : 11G25, 14F20, 14C25
Keywords: weight-monodromy conjecture, weight spectral sequence, ultraproduct 
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     author = {Ito, Kazuhiro},
     title = {On a torsion analogue of the weight-monodromy conjecture},
     journal = {Documenta mathematica},
     pages = {1729--1770},
     publisher = {mathdoc},
     volume = {26},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2021__26__a10/}
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Ito, Kazuhiro. On a torsion analogue of the weight-monodromy conjecture. Documenta mathematica, Tome 26 (2021), pp. 1729-1770. http://geodesic.mathdoc.fr/item/DOCMA_2021__26__a10/