Tootfinder

ICE Barbie Announces New Indiana Concentration Camp At State Prison To Be Called "The Speedway Slammer" - Joe.My.God.
https://www.joemygod.com/2025/08/ice-barbie-announces-new-indiana-concentration-camp-at-state-prison-to-be-called-speedway-slammer/

The $\mu-$invariant of fine Selmer groups associated to general Drinfeld modules
Hang Chen
https://arxiv.org/abs/2507.02688 https://a…

The $μ-$invariant of fine Selmer groups associated to general Drinfeld modules
Let $F$ be a global function field over the finite field $\mathbb{F}_q$ where $q$ is a prime power and $A$ be the ring of elements in $F$ regular outside $\infty$. Let $ϕ$ be an arbitrary Drinfeld module over $F$ For a fixed non-zero prime ideal $\mathfrak{p}$ of $A$, we show that on the constant $\mathbb{Z}_{\textit{p}}-$extension $\mathfrak{F}$ of $F$, the Pontryagin dual of the fine Selmer group associated to the $\mathfrak{p}-$primary torsion of $ϕ$ over $\mathfrak{F}$ is a finitely gener…

Unveiling Arithmetic Statistics of Congruent Number Elliptic Curves via Data Science and Machine Learning
Priyavrat Deshpande, Aditya Karnataki, Pratiksha Shingavekar
https://arxiv.org/abs/2509.03129

Unveiling Arithmetic Statistics of Congruent Number Elliptic Curves via Data Science and Machine Learning
This article presents a comprehensive data-scientific investigation into the arithmetic statistics of congruent number elliptic curves, leveraging a dataset of square-free integers up to $3$ million. We analyze the Mordell-Weil ranks, 2-Selmer ranks, and 3-Selmer ranks of the corresponding elliptic curves $E_D: y^2 = x^3 - D^2x$, where $D$ is a square-free number. Our study empirically examines the Heath-Brown heuristics, which predict the distribution of $2$-Selmer ranks as well as congruent n…

Wat een goede webzijde is deze.
*kijkt trots*
https://mstdn.social/@barbarakathmann/115142086970231606

Barbara Kathmann (@barbarakathmann@mstdn.social)
Attached: 1 image En we zijn losssssss! “We” zijn vandaag Jesse Six Dijkstra van NSC en ik! Besluitvorming staat nagenoeg stil, maar bij Digtiale Zaken gaan we door met de Nederlandse Digitaliserings Strategie. Op naar meer soevereiniteit, slimmer inkopen, 1 loket voor burger & ondernemer, Rijkscloud en de boel een beetje centraliseren, zodat kennis gebundeld kan worden en successen sneller opgeschaald! Hier kun je de strategie lezen. Ik ben benieuwd wat je vindt: https://www.digitaleoverh…

NIUS ist offensichtlich weniger ein Medienbetrieb, als vielmehr der Beweis, dass auch in Deutschland Superreiche damit begonnen haben, Einfluss auf die Demokratie zu nehmen.
Und was schlimmer ist: die CxU fällt darauf rein und lässt sich treiben!

Elliptic surfaces to class groups and Selmer groups
Kalyan Banerjee, Kalyan Chakraborty, Azizul Hoque
https://arxiv.org/abs/2509.00551 https://arxiv.org/pd…

Elliptic surfaces to class groups and Selmer groups
In this note, we connect the $n$-torsions of the Picard group of an elliptic surface to the $n$-divisibility of the class group of torsion fields for a given integer $n>1$. We also connect the $n$-divisibility of the Selmer group to that of the class group of torsion fields.

On Isolated Geometric Triangulations
Ian Benway
https://arxiv.org/abs/2509.01627 https://arxiv.org/pdf/2509.01627…

On Isolated Geometric Triangulations
Work of Kalelkar, Schleimer, and Segerman shows that, with some exceptions, the set of essential ideal triangulations of an orientable cusped hyperbolic 3-manifold is connected via 2-3 and 3-2 moves. It is natural to ask if the subgraph consisting of only those triangulations that are geometric is connected. Hoffman gives the first two examples of geometric triangulations with the property that no 2-3 or 3-2 move results in a geometric triangulation. In this paper, we introduce these as isolate…

https://www.destentor.nl/hengelo/huh-fietsketting-maken-dit-betekent-het-verkeersbord~a5938c46/

Selmer groups of families of elliptic curves with an $\ell$-isogeny
Stephanie Chan, Matteo Verzobio
https://arxiv.org/abs/2508.21406 https://arxiv.org/pdf/…

Selmer groups of families of elliptic curves with an $\ell$-isogeny
For certain families of elliptic curves admitting a rational isogeny of prime degree $\ell$, we establish a central limit theorem for the Tamagawa ratio and derive bounds on its average value. By using the Tamagawa ratio to bound the size of the $\ell$-isogeny Selmer group from below, we show that for $\ell \in\{ 2, 3, 5, 7, 13\}$, there exist elliptic curves with arbitrarily large $\ell$-Selmer groups.

2-Selmer companion modular forms
Abhishek, Somnath Jha, Sudhanshu Shekhar
https://arxiv.org/abs/2506.23805 https://arxiv.org/pdf/2506…

2-Selmer companion modular forms
Let $N$ be a positive integer and $K$ be a number field. Suppose that $f_1,f_2 \in S_k(Γ_0(N))$ are two newforms such that their residual Galois representations at $2$ are isomorphic. Let $ω_2: G_{\mathbb Q} \rightarrow {\mathbb Z}^*_2$ be the $2$-adic cyclotomic character. Then, under suitable hypotheses, we have shown that for every quadratic character $χ$ of $K$ and each critical twist $j$, the residual Greenberg $2$-Selmer groups of $f_1χω_2^{-j}$ and $f_2χω_2^{-j}$ over $K$ are isom…