Zobrazeno 1 - 10
of 92
pro vyhledávání: '"14F30, 14F40"'
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:
Abhinandan
We show a direct equivalence between the category of analytic/completed prismatic $F$-crystals on the absolute prismatic site of a small (unramified at $p$) base ring and the category of relative Wach modules from the theory of $(\varphi, \Gamma)$-mo
Externí odkaz:
http://arxiv.org/abs/2405.18245
Let $k$ be a perfect field of characteristic $p$ and $W(k)$ its ring of Witt vectors. We construct an equivalence of categories between the full subcategory of the derived category of quasi-coherent sheaves on the syntomification of $W(k)$ spanned by
Externí odkaz:
http://arxiv.org/abs/2402.17755
Let $p$ be a prime, $W$ the ring of Witt vectors of a perfect field $k$ of characteristic $p$ and $\zeta$ a primitive $p$th root of unity. We introduce a new notion of calculus over $W$ that we call absolute calculus. It may be seen as a singular ver
Externí odkaz:
http://arxiv.org/abs/2310.13790
Autor:
Abhinandan
We study relative Wach modules generalising our previous works on this subject. Our main result shows a categorical equivalence between relative integral Wach modules and lattices inside relative crystalline representations. Using this result, we ded
Externí odkaz:
http://arxiv.org/abs/2309.16446
Autor:
Abhinandan
For an absolutely unramified field extension $L/\mathbb{Q}_p$ with imperfect residue field, we develop the notion of Wach modules in the setting of $(\varphi,\Gamma)$-modules for $L$. Our main result establishes a categorical equivalence between latt
Externí odkaz:
http://arxiv.org/abs/2308.11191
Autor:
Abhinandan
In local relative $p$-adic Hodge theory, we show that the Galois cohomology of a finite crystalline height representation, upto a Tate twist, is essentially computed by (Fontaine-Messing) syntomic complex with coefficient in the associated $F$-isocry
Externí odkaz:
http://arxiv.org/abs/2308.10736
Autor:
Holeman, Adam
We characterize the relative prismatic cohomology of Bhatt and Scholze by a universal property by endowing it with the additional structure of a ``derived $\delta$-ring". This involves introducing an analogue of prismatic envelopes in the setting of
Externí odkaz:
http://arxiv.org/abs/2303.17447
Autor:
Gurney, Lance
The aim of this article is to given an extension of the prismatization functor for $p$-adic formal schemes (whose construction was first sketched by Drinfeld and then given by Bhatt-Lurie) to all schemes over $\mathrm{Spec}(\mathbf{Z})$. We then prov
Externí odkaz:
http://arxiv.org/abs/2301.12392