Tootfinder

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids
Emiliano Liwski, Fatemeh Mohammadi, Lisa Vandebrouck
https://arxiv.org/abs/2506.07757 https://

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids
We study rank-three matroids, known as point-line configurations, and their associated matroid varieties, defined as the Zariski closures of their realization spaces. Our focus is on determining finite generating sets of defining equations for these varieties, up to radical, and describing the irreducible components of the corresponding circuit varieties. We generalize the notion of cactus graphs to matroids, introducing a family of point-line configurations whose underlying graphs are cacti. O…

@… I’m hoping to bring this up with people who know what they’re talking about at ZuriHac this weekend.

This https://arxiv.org/abs/2106.02411 has been replaced.
link: https://scholar.google.com/scholar?q=a

Parametrized Kähler class and Zariski dense orbital 1-cohomology
Let $Γ$ be a finitely generated group and let $(X,μ_X)$ be an ergodic standard Borel probability $Γ$-space. Suppose that $G$ is the connected component of the identity of the isometry group of a Hermitian symmetric space. Given a Zariski dense measurable cocycle $σ:Γ\times X \rightarrow G$, we define the notion of parametrized Kähler class and we show that it completely determines the cocycle up to cohomology.x

I’ve been hungry for seeing these days, hungry especially for color—wild, deeply saturated, mood-altering color. It has me looking up—as I always do when I’m lost—at the sky. Celeste blue. Blue of infinite depth. Ultra-blue.
https://salrandolph.substack.com/p/ways-of…

Ways of Seeing: Blue
Taking inspiration from Maggie Nelson's book, Bluets, this Ways of Seeing encourages you to take the color blue as your oracle and guide.

Uff, grosser #Wasserrohrbruch in #Zürich #Oerlikon direkt über dem #Wipkingertunnel der

Wasserrohrbruch sorgt in Zürich für geflutete Häuser
Ein Wasserrohrbruch in Oerlikon sorgte heute Morgen für massive Schäden. Mehrere Häuser wurden geflutet. Weil Geröll auf die Bahnstrecke gespült wurde, ist der Bahnverkehr noch bis morgen unterbrochen. Unter Wasser steht auch ein Familienbetrieb, der Geschenktaschen verkauft.