Zobrazeno 1 - 10
of 3 073
pro vyhledávání: '"Rank (differential topology)"'
Publikováno v:
Journal of Number Theory. 238:396-443
We generalize Birch's construction of the Heegner points on X 0 ( N ) to construct new points X 1 ( N ) (and therefore construct points on the abelian varieties associated to J 1 ( N ) ). Then, we show that these points form an Euler system, and we i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75329bc039cc82f470a2a12d7fda2933
https://doi.org/10.1016/j.jnt.2021.08.016
https://doi.org/10.1016/j.jnt.2021.08.016
Autor:
Alina Carmen Cojocaru, Mihran Papikian
Publikováno v:
Journal of Number Theory. 237:15-39
For q an odd prime power, A = F q [ T ] , and F = F q ( T ) , let ψ : A → F { τ } be a Drinfeld A-module over F of rank 2 and without complex multiplication, and let p = p A be a prime of A of good reduction for ψ, with residue field F p . We st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::263f303bc6706b2150b70e7a802a6a7a
https://doi.org/10.1016/j.jnt.2021.03.026
https://doi.org/10.1016/j.jnt.2021.03.026
Autor:
Chien-Hua Chen
Publikováno v:
Journal of Number Theory. 237:99-123
In this paper, we prove that the adelic Galois representation ρ φ : Gal ( F q ( T ) sep / F q ( T ) ) ⟶ lim ← a Aut ( φ [ a ] ) ≅ G L 3 ( A ˆ ) associated to the Drinfeld module φ over F q ( T ) of rank 3, φ defined by φ T = T + τ 2 + T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::935adb7ac2be7ceaf862325f4ff007d2
https://doi.org/10.1016/j.jnt.2020.06.004
https://doi.org/10.1016/j.jnt.2020.06.004
Autor:
Mihran Papikian, Sumita Garai
Publikováno v:
Journal of Number Theory. 232:155-176
Let A = F q [ T ] be the polynomial ring over F q , and F be the field of fractions of A. Let ϕ be a Drinfeld A-module of rank r ≥ 2 over F. For all but finitely many primes p ◁ A , one can reduce ϕ modulo p to obtain a Drinfeld A-module ϕ ⊗
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::15f78e22511961fa0eefae2c03eb52c3
https://doi.org/10.1016/j.jnt.2021.10.002
https://doi.org/10.1016/j.jnt.2021.10.002
Autor:
Anastasia Stavrova
Publikováno v:
Indagationes Mathematicae. 33:322-333
We apply the techniques developed by I. Panin for the proof of the equicharacteristic case of the Serre–Grothendieck conjecture for isotropic reductive groups (Panin et al., 2015; Panin, 2019) to obtain similar injectivity and A 1 -invariance theor
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https://explore.openaire.eu/search/publication?articleId=doi_________::a00d889574330c8b1c43260081f29273
https://doi.org/10.1016/j.indag.2021.08.002
https://doi.org/10.1016/j.indag.2021.08.002
Autor:
Thomas A. Knox
Publikováno v:
Journal of Econometrics. 226:171-191
Parameterized integrals, q y = ∫ K x , y d P x , are common in economic applications. To optimize a parameterized integral, or to relate one such integral to others, it is helpful to reduce the rank of the kernel K while controlling approximation e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ebd2afe5a78514686070b6a845fd14d
https://doi.org/10.1016/j.jeconom.2021.07.009
https://doi.org/10.1016/j.jeconom.2021.07.009
Publikováno v:
Studia Scientiarum Mathematicarum Hungarica. 58:433-456
The symbol $\mathcal{S}(X)$ denotes the hyperspace of finite unions of convergent sequences in a Hausdorff space $X$. This hyperspace is endowed with the Vietoris topology. First of all, we give a characterization of convergent sequence in $\mathcal{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b039a5f9502e10e9a3a539f1cccb7b06
https://doi.org/10.1556/012.2021.01510
https://doi.org/10.1556/012.2021.01510
Autor:
José Alves Oliveira
Publikováno v:
Linear Algebra and its Applications. 630:274-292
Let F q denote the finite field with q = p λ elements. Maximum Rank metric codes (MRD for short) are subsets of M m × n ( F q ) whose number of elements attains the Singleton-like bound. The first MRD codes known were found by Delsarte (1978) and G
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e97d9b363234a2be8ad50830ca8119ab
https://doi.org/10.1016/j.laa.2021.08.011
https://doi.org/10.1016/j.laa.2021.08.011
Autor:
Zsigmond Tarcsay, Bence Horváth
Publikováno v:
Proceedings of the American Mathematical Society. 150:747-761
A remarkable result of Moln\'ar [Proc. Amer. Math. Soc., 126 (1998), 853-861] states that automorphisms of the algebra of operators acting on a separable Hilbert space is stable under "small" perturbations. More precisely, if $\phi,\psi$ are endomorp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95c6e9d9815ec47db97731b56e350080
https://doi.org/10.1090/proc/15666
https://doi.org/10.1090/proc/15666
Autor:
Farangis Johari
Publikováno v:
Journal of Algebra. 586:561-581
Let F be a field of characteristic different from two. Suppose that N 2 is the category of finite-dimensional nilpotent Lie algebras of class two over the field F and that ALT is the category of alternating bilinear maps of F -vector spaces. We estab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::71b018519f1a4755a260cc1d4ced276e
https://doi.org/10.1016/j.jalgebra.2021.06.040
https://doi.org/10.1016/j.jalgebra.2021.06.040