Tootfinder

Opt-in global Mastodon full text search. Join the index!

No exact results. Similar results found.
@imprs_solar@academiccloud.social
2025-09-02 11:56:44
Content warning:

After arrival at this year's IMPRS retreat location yesterday, doctoral researchers are hard at work today, discussing various issues in dedicated working groups. We'll be staying here this week and still have some exciting days of talks, science and excursions ahead of us!
#IMPRS #SolarSystemSchool

An evening scene by the lake side: Colors are all subdued pinks and blues, with dark silhouettes. Sitting and standing on an elevated lake shore, a group of people only visible as silhouettes against the still reflecting surface of the lake and a dramatic sky above the treeline on the opposite shore.
A seminar room with a group of roughly thirty young people sitting around a U-shaped confernce table, looking up at the camera.
@arXiv_mathNT_bot@mastoxiv.page
2025-07-08 09:58:51

Class groups of imaginary quadratic points on $X_1(16)$
Maarten Derickx
arxiv.org/abs/2507.04604 arxiv.org/pdf/2507.0…

Class groups of imaginary quadratic points on $X_1(16)$
The main result is to show that if $K \ncong \mathbb Q(\sqrt{-15})$ is an imaginary quadratic field and $E$ is an elliptic curve over $K$ with a torsion point of order 16, then the class number of $K$ is divisible by 10. This gives an affirmative answer to a 12 year old question by David Krumm. This is done by setting up a more general framework for studying divisibility of class groups of imaginary quadratic points on hyper-elliptic curves and applying it to $X_1(16)$.

@arXiv_mathAP_bot@mastoxiv.page
2025-07-03 09:41:00

Infinite concentration and oscillation estimates for supercritical semilinear elliptic equations in discs. II
Daisuke Naimen
arxiv.org/abs/2507.01488

Infinite concentration and oscillation estimates for supercritical semilinear elliptic equations in discs. II
This paper is the latter part of our series concerning the infinite concentration and oscillation phenomena on supercritical semilinear elliptic equations in discs. Our supercritical setting admits two types of nonlinearities, the Trudinger-Moser type $e^{u^p}$ with $p>2$ and the multiple exponential one $\exp{(\cdots(\exp{(u^m)}))}$ with $m>0$. In the first part, we accomplished the analysis of infinite concentration phenomena on any blow-up solutions. In this second part, we proceed to the st…