Results 61 to 70 of about 87,537 (161)

The growth of Tate–Shafarevich groups of p$p$‐supersingular elliptic curves over anticyclotomic Zp${\mathbb {Z}}_p$‐extensions at inert primes

open access: yesMathematika, Volume 71, Issue 4, October 2025.
Abstract Let E$E$ be an elliptic curve defined over Q${\mathbb {Q}}$, and let K$K$ be an imaginary quadratic field. Consider an odd prime p$p$ at which E$E$ has good supersingular reduction with ap(E)=0$a_p(E)=0$ and which is inert in K$K$. Under the assumption that the signed Selmer groups are cotorsion modules over the corresponding Iwasawa algebra ...
Erman Işik, Antonio Lei
wiley   +1 more source

Taking limits in topological recursion

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightforward‐to‐use) conditions for checking when the commutation with limits holds, thereby closing a ...
Gaëtan Borot   +4 more
wiley   +1 more source

Profinite rigidity for free‐by‐cyclic groups with centre

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract A free‐by‐cyclic group FN⋊ϕZ$F_N\rtimes _\phi \mathbb {Z}$ has non‐trivial centre if and only if [ϕ]$[\phi]$ has finite order in Out(FN)${\rm {Out}}(F_N)$. We establish a profinite rigidity result for such groups: if Γ1$\Gamma _1$ is a free‐by‐cyclic group with non‐trivial centre and Γ2$\Gamma _2$ is a finitely generated free‐by‐cyclic group ...
Martin R. Bridson, Paweł Piwek
wiley   +1 more source

The Iwasawa invariants of Zpd${\mathbb {Z}}_{p}^{\,d}$‐covers of links

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract Let p$p$ be a prime number and let d∈Z>0$d\in {\mathbb {Z}}_{>0}$. In this paper, following the analogy between knots and primes, we study the p$p$‐torsion growth in a compatible system of (Z/pnZ)d$({\mathbb {Z}}/p^n{\mathbb {Z}})^d$‐covers of 3‐manifolds and establish several analogues of Cuoco–Monsky's multivariable versions of Iwasawa's ...
Sohei Tateno, Jun Ueki
wiley   +1 more source

Joint Wire Cutting with Non‐Maximally Entangled States

open access: yesAdvanced Quantum Technologies, Volume 8, Issue 5, May 2025.
Wire cutting decomposes large quantum circuits into smaller subcircuits by severing connecting wires, enabling execution on multiple distributed devices. This study employs non‐maximally entangled (NME) states in joint wire cuts to reduce their overhead.
Marvin Bechtold   +4 more
wiley   +1 more source

Ramification in the Inverse Galois Problem [PDF]

open access: yesJournal of Number Theory, 2019
Benjamin H. Pollak
semanticscholar   +1 more source

Can a Drinfeld module be modular?

open access: yes, 2002
Let $k$ be a global function field with field of constants $\Fr$ and let $\infty$ be a fixed place of $k$. In his habilitation thesis \cite{boc2}, Gebhard B\"ockle attaches abelian Galois representations to characteristic $p$ valued cusp eigenforms and ...
Goss, David
core   +3 more sources

Improving the efficiency of using multivalued logic tools: application of algebraic rings. [PDF]

open access: yesSci Rep, 2023
Suleimenov IE   +3 more
europepmc   +1 more source

Home - About - Disclaimer - Privacy