Tootfinder

Having to use Mac instead of Linux for work soon, I finally found a concise article on the topic.
Most others are either about installing Linux on a Mac (interesting, but not my situation) or switching because they prefer Mac (uhh..) and want to use it as one.
I aim to create an workflow as similar to Linux as I manage, without having to juggle with VMs

Structure of two-dimensional mod$(q)$ area-minimizing currents near flat singularities: the codimension one case
Anna Skorobogatova, Luca Spolaor, Salvatore Stuvard
https://arxiv.org/abs/2506.17813

Structure of two-dimensional mod$(q)$ area-minimizing currents near flat singularities: the codimension one case
We obtain a fine structural result for two-dimensional mod$(q)$ area-minimizing currents of codimension one, close to flat singularities. Precisely, we show that, locally around any such singularity, the current is a $C^{1,α}$-perturbation of the graph of a radially homogeneous special multiple-valued function that arises from a superposition of homogeneous harmonic polynomials. Additionally, as a preliminary step towards an analogous result in arbitrary codimension, we prove in general that t…

Friday Links 25-08
Pocket is a big part of how I collect the links for the Friday Links. Sadly, Mozilla has decided to shut Pocket down. My plan is to migrate to Readwise Reader, which seems to be a reasonable replacement. I am now migrating some of my helper scripts to make the change easier. You will see next week if I will be successful. :-)

Chenciner bifurcation, strong resonances and Arnold tongues of a discrete time SIR epidemic model
Jiangqiong Yu, Jiyu Zhong, Lingling Liu, Zhiheng Yu
https://arxiv.org/abs/2506.15982

Chenciner bifurcation, strong resonances and Arnold tongues of a discrete time SIR epidemic model
In this paper, we mainly study the dynamic properties of a class of three-dimensional SIR models. Firstly, we use the {\it complete discriminant theory} of polynomials to obtain the parameter conditions for the topological types of each fixed point. Secondly, by employing the center manifold theorem and bifurcation theory, we prove that the system can undergo codimension 1 bifurcations, including transcritical, flip and Neimark-Sacker bifurcations, and codimension 2 bifurcations which contain C…

Singularities in the Ekedahl--Oort stratification
Jean-Stefan Koskivirta, Lorenzo La Porta, Stefan Reppen
https://arxiv.org/abs/2506.16086 https://

Singularities in the Ekedahl--Oort stratification
We give conceptual and combinatorial criteria for the normality and Cohen--Macaulayness of unions of Ekedahl--Oort strata in the special fiber of abelian type Shimura varieties. For unions of two strata, one of the two having codimension one in the closure of the other, we determine exactly when their union is smooth. We provide explicit numerical criteria for the smoothness of any one-dimensional EO-stratum closure of Shimura varieties. For groups of type $\mathsf{B}_n$, we describe the smooth…

Regular homomorphisms, with a twist
Jeff Achter, Sebastian Casalaina-Martin, Charles Vial
https://arxiv.org/abs/2506.17033 https://ar…

Regular homomorphisms, with a twist
Let $X/K$ be a variety over a field, and $A/K$ an abelian variety. A regular homomorphism to $A$ (in codimension $i$) induces, for every smooth geometrically connected pointed $K$-scheme $(T,t_0)$ and every cycle class $Z \in CH^i(T\times X)$, a morphism $T \to A$ of varieties over $K$. In this note we show that, if $T$ admits no $K$-point, the data $(T,Z)$ determines a torsor $A^{(T,Z)}$ over $K$ under $A$ and a $K$-morphism $T \to A^{(T,Z)}$. This can be used to provide an obstruction to the …

Sources: Masayoshi Son is pitching a Shenzhen-like $1T AI and robotics manufacturing hub in Arizona, codenamed Project Crystal Land, in partnership with TSMC (Bloomberg)
https://www.bloomberg.com/news/articles/202…

Heterotopic energy for Sobolev mappings
Antoine Detaille, Jean Van Schaftingen
https://arxiv.org/abs/2506.16204 https://arxiv.org/pdf…

Heterotopic energy for Sobolev mappings
We study the notion of heterotopic energy defined as the limit of Sobolev energies of Sobolev mappings in a given homotopy class approximating almost everywhere a given Sobolev mapping. We show that the heterotopic energy is finite if and only if the mappings in the corresponding homotopy classes are homotopic on a codimension one skeleton of a triangulation of the domain. When this is the case, the heterotopic energy of a mapping is the sum of its Sobolev energy and its disparity energy, defin…

I was today years old when I started making my own ice tea.

Sehr lustig, André Greipel und Rick Zabel verplant von Köln nach Amsterdam
Ein Bikepacking Trip als Abenteurer ohne Navi & Smartphone
https://youtube.com/watch?v=JH9XULQ8X_A&si=48oVeY13ng-J-Fy_
> Ich war zwei Tage komplett ohne Han…