Zobrazeno 1 - 10
of 468
pro vyhledávání: '"14G20"'
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:
Kellock, Lilybelle Cowland
For $f(x)$ a separable polynomial of degree $d$ over a discretely valued field $K$, we describe how the cluster picture of $f(x)$ over $K$, in other words the set of tuples $\{(\mathrm{ord}(x_i-x_j),i,j) : 1\leq i< j \leq d \}$ where $x_1,\dots,x_d$
Externí odkaz:
http://arxiv.org/abs/2410.17148
Autor:
de Jong, Robin, Shokrieh, Farbod
We discuss canonical local heights on abelian varieties over non-archimedean fields from the point of view of Berkovich analytic spaces. Our main result is a refinement of N\'eron's classical result relating canonical local heights with intersection
Externí odkaz:
http://arxiv.org/abs/2405.17826
Autor:
Zhu, Ziyang
We extend Latimer and MacDuffee's theorem to a general commutative domain and apply this result to study similarity of matrices over integral rings of number fields. We also conjecture similarity over discrete valuation rings can be descent by a fini
Externí odkaz:
http://arxiv.org/abs/2405.08501
Autor:
Gabber, Ofer, Lodh, Rémi
We give sufficient conditions for cohomological flatness (in dimension 0) over discrete valuation rings, generalising a classical result of Raynaud in two different ways. The first is an extension of Raynaud's numerical criterion to higher dimensions
Externí odkaz:
http://arxiv.org/abs/2403.01831
Autor:
Ji, Lena, Suzuki, Fumiaki
We study rationality questions for Fano schemes of linear spaces on smooth complete intersections of two quadrics, especially over non-closed fields. Our approach is to study hyperbolic reductions of the pencil of quadrics associated to $X$. We prove
Externí odkaz:
http://arxiv.org/abs/2402.18857
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
Autor:
Gonzalez-Aviles, Cristian D.
This is a letter (not intended for publication in a regular journal) written in response to two referees of my preprint "Local duality theorems for commutative algebraic groups". In it, I discuss possible applications of the new theory of 1-motives i
Externí odkaz:
http://arxiv.org/abs/2401.17960
Autor:
Sreekantan, Ramesh
In this paper we construct new indecomposable motivic cycles in the group $H^3_{\mathcal M}(X,{\mathbb Q}(2))$ where X is a degree 2 K3 surface. This generalizes our construction in [Sre22] for Kummer surfaces of Abelian surfaces as well as the recen
Externí odkaz:
http://arxiv.org/abs/2401.01052
Autor:
Torti, Emiliano
In this article, we prove the existence of rigid analytic families of $G$-stable lattices with locally constant reductions inside families of representations of a topologically compact group $G$, extending a result of Hellman obtained in the semi-sim
Externí odkaz:
http://arxiv.org/abs/2401.00462