Results 1 to 10 of about 29 (24)

On the Kolyvagin formula for elliptic curves with good reductions over pseudolocal fields [PDF]

open access: yesМатематичні Студії, 2013
We consider the {relationships between the} local Artin map$heta colon K^* o mathrm{Gal}(K^{ab}/K)$ {and the} Hilbert symbol $(cdot,,cdot)colon K^*/K^{*m} imes K^*/K^{*m} longrightarrow mu_m$ for {a} general local field, as well as {between} the Tate ...
V. I. Nesteruk
doaj   +4 more sources

On the Origin of the Yellow Luminescence Band in GaN

open access: yesphysica status solidi (b), Volume 260, Issue 8, August 2023., 2023
The yellow luminescence band with a maximum at 2.2 eV is the dominant defect‐related luminescence in undoped GaN. It is recognized as the YL1 band and attributed to the CN acceptor. Previously suggested candidates are discarded. The properties of the YL1 band and other defect‐related luminescence bands in this spectral region are reviewed.
Michael A. Reshchikov
wiley   +1 more source

On the Kolyvagin's formula, the Tate pairing associated to an isogeny, the local Artin map and the Hilberts symbol

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
A proof of nondegeneracy of the Tate pairing and Kolyvagin's formula for elliptic curves with good reductions over an $n$-dimensional $(n\leq 3)$ pseudolocal field, the Tate pairing associated to an isogeny between abelian varieties over pseudolocal ...
V.I. Nesteruk
doaj   +3 more sources

On the Tate-Shafarevich groups of finite modules over $n$-dimensional pseudolocal fields

open access: yesMatematychni Studii, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

The anisotropic Calderón problem at large fixed frequency on manifolds with invertible ray transform

open access: yesJournal of the London Mathematical Society, Volume 110, Issue 4, October 2024.
Abstract We consider the inverse problem of recovering a potential from the Dirichlet to Neumann map at a large fixed frequency on certain Riemannian manifolds. We extend the earlier result of Uhlmann and Wang [arXiv:2104.03477] to the case of simple manifolds, and more generally to manifolds where the geodesic ray transform is stably invertible.
Shiqi Ma, Suman Kumar Sahoo, Mikko Salo
wiley   +1 more source
Some of the next articles are maybe not open access.

Tate-Shafarevich products in elliptic curves over pseudolocal fields with residue fields of characteristic 3

Ukrainian Mathematical Journal, 1992
Summary: Let \(k\) be a general local field with pseudofinite residue field \(\kappa\), \(\text{char} \kappa=3\), A be an elliptic curve defined over the field \(k\). It is proved that the Tate-Shafarevich product \(H^ 1(k,A)\times A_ k\to\mathbb{Q}/\mathbb{Z}\) of the group \(H^ 1(k,A)\) of principal homogeneous spaces of the curve \(A\) over the ...
exaly   +3 more sources

ON ELLIPTIC CURVES OVER PSEUDOLOCAL FIELDS

Sbornik: Mathematics, 1981
In this paper it is shown that for pseudolocal fields there is a natural analog of the Tate-Safarevic duality for elliptic curves, taking the following form: Theorem. If A is an elliptic curve defined over the pseudolocal field k, whose residue field has characteristic not equal to 2 or 3, then the Tate-Safarevic pairing H1(k, A) × Ak → Q / Z is left ...
Giermo Lopes   +2 more
exaly   +4 more sources

First-Principles Calculations of Pseudolocal Vibrational Modes: The Case of Cu and Cu Pairs in Si

Physical Review Letters, 2003
Joerg Weber   +2 more
exaly  

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