Logarithmic prismatic cohomology II
T Koshikawa, Z Yao - arXiv preprint arXiv:2306.00364, 2023 - arxiv.org
We continue to study the logarithmic prismatic cohomology defined by the first author, and
complete the proof of the de Rham comparison and\'etale comparison generalizing those of …
complete the proof of the de Rham comparison and\'etale comparison generalizing those of …
Logarithmic Riemann-Hilbert correspondences for rigid varieties
H Diao, KW Lan, R Liu, X Zhu - arXiv preprint arXiv:1803.05786, 2018 - arxiv.org
On any smooth algebraic variety over a $ p $-adic local field, we construct a tensor functor
from the category of de Rham $ p $-adic\'etale local systems to the category of filtered …
from the category of de Rham $ p $-adic\'etale local systems to the category of filtered …
A p-adic Simpson correspondence for rigid analytic varieties
Y Wang - Algebra & Number Theory, 2023 - msp.org
We establish a p-adic Simpson correspondence in the spirit of Liu and Zhu for rigid analytic
varieties X over ℂ p with a liftable good reduction by constructing a new period sheaf on X …
varieties X over ℂ p with a liftable good reduction by constructing a new period sheaf on X …
Geometric Sen theory over rigid analytic spaces
JE Camargo - arXiv preprint arXiv:2205.02016, 2022 - arxiv.org
arXiv:2205.02016v2 [math.NT] 31 Aug 2022 Page 1 arXiv:2205.02016v2 [math.NT] 31 Aug 2022
GEOMETRIC SEN THEORY OVER RIGID ANALYTIC SPACES JUAN ESTEBAN RODRÍGUEZ …
GEOMETRIC SEN THEORY OVER RIGID ANALYTIC SPACES JUAN ESTEBAN RODRÍGUEZ …
On the p-adic weight-monodromy conjecture for complete intersetions in toric varieties
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 …
complete intersections in projective smooth toric varieties. The strategy is based on …
Logarithmic Riemann–Hilbert correspondences for rigid varieties
H Diao, KW Lan, R Liu, X Zhu - Journal of the American Mathematical …, 2023 - ams.org
On any smooth algebraic variety over a $ p $-adic local field, we construct a tensor functor
from the category of de Rham $ p $-adic étale local systems to the category of filtered …
from the category of de Rham $ p $-adic étale local systems to the category of filtered …
A -adic analogue of Borel's theorem
A Oswal, AN Shankar, X Zhu, A Patel - arXiv preprint arXiv:2310.06104, 2023 - arxiv.org
We prove that Shimura varieties of abelian type satisfy a $ p $-adic Borel-extension property
over discretely valued fields. More precisely, let $\mathsf {D} $ denote the rigid-analytic …
over discretely valued fields. More precisely, let $\mathsf {D} $ denote the rigid-analytic …
De Rham comparison and Poincaré duality for rigid varieties
KW Lan, R Liu, X Zhu - Peking Mathematical Journal, 2023 - Springer
Over any smooth algebraic variety over ap-adic local field k, we construct the de Rham
comparison isomorphisms for the étale cohomology with partial compact support of de …
comparison isomorphisms for the étale cohomology with partial compact support of de …
Hodge-Iwasawa Theory II
X Tong - arXiv preprint arXiv:2010.06093, 2020 - arxiv.org
We continue our study on the Hodge-Iwasawa theory which is a continuation of our previous
work on Hodge-Iwasawa theory, which is aimed at higher dimensional deformation of higher …
work on Hodge-Iwasawa theory, which is aimed at higher dimensional deformation of higher …
Vector Bundles with Numerically Flat Reduction on Rigid Analytic Varieties and p-Adic Local Systems
M Würthen - International Mathematics Research Notices, 2023 - academic.oup.com
We show how to functorially attach continuous-adic representations of the profinite
fundamental group to vector bundles with numerically flat reduction on a proper rigid …
fundamental group to vector bundles with numerically flat reduction on a proper rigid …