Overconvergent Eichler–Shimura isomorphisms
F Andreatta, A Iovita, G Stevens - … of the Institute of Mathematics of …, 2015 - cambridge.org
OVERCONVERGENT EICHLER–SHIMURA ISOMORPHISMS Page 1 221 doi:10.1017/S1474748013000364
c Cambridge University Press 2013 OVERCONVERGENT EICHLER–SHIMURA …
c Cambridge University Press 2013 OVERCONVERGENT EICHLER–SHIMURA …
A -adic nonabelian criterion for good reduction of curves
F Andreatta, A Iovita, M Kim - 2015 - projecteuclid.org
Let K be a complete discrete valuation field of characteristic 0, with valuation ring OK and
perfect residue field k of positive characteristic p. We prove that a proper and smooth curve …
perfect residue field k of positive characteristic p. We prove that a proper and smooth curve …
A prismatic approach to crystalline local systems
H Guo, E Reinecke - Inventiones mathematicae, 2024 - Springer
Let X be a smooth p-adic formal scheme. We show that integral crystalline local systems on
the generic fiber of X are equivalent to prismatic F-crystals over the analytic locus of the …
the generic fiber of X are equivalent to prismatic F-crystals over the analytic locus of the …
A-adic monodromy theorem for de Rham local systems
K Shimizu - Compositio Mathematica, 2022 - cambridge.org
We study horizontal semistable and horizontal de Rham representations of the absolute
Galois group of a certain smooth affinoid over a-adic field. In particular, we prove that a …
Galois group of a certain smooth affinoid over a-adic field. In particular, we prove that a …
Analytic Geometry and Hodge-Frobenius Structure
X Tong - arXiv preprint arXiv:2011.08358, 2020 - arxiv.org
In this paper, we study Frobenius structures in higher dimensional $ p $-adic analytic
geometry and the corresponding $ p $-adic functional analysis. This will build up …
geometry and the corresponding $ p $-adic functional analysis. This will build up …
Mixed-Parity Representation Theoreticalization I
X Tong - arXiv preprint arXiv:2311.10019, 2023 - arxiv.org
Mixed-parity module emerges for instance when a de Rham Galois representation is being
tensored with a square root of cyclotomic character, which produce half odd integers as the …
tensored with a square root of cyclotomic character, which produce half odd integers as the …
De Rham logarithmic classes and Tate conjecture
J Bouali - arXiv preprint arXiv:2303.09932, 2023 - arxiv.org
We introduce the definition of De Rham logarithmic classes. We show that the De Rham
class of an algebraic cycle of a smooth algebraic variety over a field of characteristic zero is …
class of an algebraic cycle of a smooth algebraic variety over a field of characteristic zero is …
Log prismatic -crystals and purity
H Du, T Liu, YS Moon, K Shimizu - arXiv preprint arXiv:2404.19603, 2024 - arxiv.org
Our goal is to study $ p $-adic local systems on a rigid-analytic variety with semistable formal
model. We prove that such a local system is semistable if and only if so are its restrictions to …
model. We prove that such a local system is semistable if and only if so are its restrictions to …
-Categorical Approaches to Hodge-Iwasawa Theory II: -Categorical and Derived Hodge-Iwasawa Modules
X Tong - arXiv preprint arXiv:2311.10022, 2023 - arxiv.org
This paper is a discussion on $\infty $-categorical approaches to Hodge-Iwasawa Theory,
which was initiated in our project on the $\infty $-categorical approaches to Hodge-Iwasawa …
which was initiated in our project on the $\infty $-categorical approaches to Hodge-Iwasawa …
Overconvergent Eichler–Shimura isomorphisms for quaternionic modular forms over
DB Salazar, S Gao - International Journal of Number Theory, 2017 - World Scientific
In this work, we construct overconvergent Eichler–Shimura isomorphisms over Shimura
curves over ℚ. More precisely, for a prime p> 3 and a wide open disk U in the weight space …
curves over ℚ. More precisely, for a prime p> 3 and a wide open disk U in the weight space …