Zobrazeno 1 - 10
of 1 202
pro vyhledávání: '"14F30"'
Autor:
Mohajer, Mohammadreza
In this thesis, we aim to develop p-adic analogs of known results for classical periods, focusing specifically on 1-motives. We establish an integration theory for 1-motives with good reductions, which generalizes the Colmez-Fontaine-Messing p-adic i
Externí odkaz:
http://arxiv.org/abs/2411.03118
Autor:
Čoupek, Pavel
Let $K$ be an absolutely unramified $p$-adic field. We establish a ramification bound, depending only on the given prime $p$ and an integer $i$, for mod $p$ Galois representations associated with Wach modules of height at most $i$. Using an instance
Externí odkaz:
http://arxiv.org/abs/2410.23453
Autor:
Meyer, Samuel, Wagner, Ferdinand
As a consequence of Efimov's proof of rigidity of the $\infty$-category of localising motives, Scholze and Efimov have constructed refinements of localising invariants such as $\operatorname{TC}^-$. In this article we compute the homotopy groups of t
Externí odkaz:
http://arxiv.org/abs/2410.23115
Autor:
Wagner, Ferdinand
In this article, we'll introduce a $q$-variant of Witt vectors and de Rham-Witt complexes. This variant is closely related to the Habiro ring of a number field constructed by Garoufalidis, Scholze, Wheeler, and Zagier, to $q$-Hodge cohomology, and to
Externí odkaz:
http://arxiv.org/abs/2410.23078
Autor:
Cadoret, Anna, Pirutka, Alena
Assuming natural variational realization conjectures, we give uniform bounds for the obstruction to the integral Tate conjecture in 1-dimensional families of algebraic varieties over an infinite finitely generated field.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/2410.21010
We compute the MU-based syntomic cohomologies, mod $(p,v_1,\cdots,v_{n+1})$, of all $\mathbb{E}_1$-MU-algebra forms of connective Morava K-theory k(n). As qualitative consequences, we deduce the Lichtenbaum--Quillen conjecture, telescope conjecture,
Externí odkaz:
http://arxiv.org/abs/2410.07048
Autor:
Suh, Junecue
Publikováno v:
Compos. Math. 148 (2012), no. 1, 295--303
We prove that the Newton polygons of Frobenius on the crystalline cohomology of proper smooth varieties satisfy a symmetry that results, in the case of projective smooth varieties, from Poincar\'e duality and the hard Lefschetz theorem. As a corollar
Externí odkaz:
http://arxiv.org/abs/2410.01184
Autor:
Guo, Haoyang, Yang, Ziquan
Given a Z_p-linear local system over a smooth rigid space, we show that it is crystalline (resp. semi-stable) with respect to any smooth (resp. semi-stable) integral model if and only if its restrictions at many classical points are crystalline (resp
Externí odkaz:
http://arxiv.org/abs/2409.19742
Our main objective in this paper (which is expository for the most part) is to study the necessary steps to prove a factorization formula for a certain triple product $p$-adic $L$-function guided by the Artin formalism. The key ingredients are: a) th
Externí odkaz:
http://arxiv.org/abs/2409.08645
We apply our previous results on ``saturated descent'' to express a wide range of logarithmic cohomology theories in terms of the infinite root stack. Examples include the log cotangent complex, Rognes' log topological cyclic homology, and Nygaard-co
Externí odkaz:
http://arxiv.org/abs/2408.15627