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"Home Hub" und Tischroboter: Apple findet offenbar Fertiger – nicht in China
Nach vielen Gerüchten könnte ab dem kommenden Jahr eine neue Apple-Produktkategorie fürs Heim starten. Nun gibt es Infos zur Fertigung.
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Decomposition of the Tschirnhausen module for coverings on decomposable \texorpdfstring{$\mathbb{P}^1$}{P1}-bundles
Youngook Choi, Hristo Iliev, Seonja Kim
https://arxiv.org/abs/2509.11227

Decomposition of the Tschirnhausen module for coverings on decomposable \texorpdfstring{$\mathbb{P}^1$}{P1}-bundles
In this note, we show that for a smooth algebraic variety $Y$ and a smooth $m$-secant section $X$ of the $\mathbb{P}^1$-bundle \[ f : \mathbb{P}(\mathcal{O}_Y \oplus \mathcal{O}_Y(E)) \longrightarrow Y, \] where $E$ is an effective divisor on $Y$ satisfying $H^1(Y, \mathcal{O}_Y(kE)) = 0$ for all $k = 1, \ldots, m-1$, the Tschirnhausen module of the induced covering $ f|_X : X \longrightarrow Y $ is completely decomposable. We then apply it to coverings of curves arising in such a way.

🇺🇦 #NowPlaying on #BBC6Music's #GuyGarveysFinestHour
The Cribs:
🎵 Men's Needs
#TheCribs
https://thecribs.bandcamp.com/album/men-s-needs-women-s-needs-whatever-2022-definitive-edition
https://open.spotify.com/track/3qel23hQWhHT3qGewBQ0pE

Anisotropy enables advanced light sheet microscopy with opaque lenses
Mikis Mylonakis, Evangelos Marakis, George J. Tserevelakis, Athanasios Zacharopoulos, Maira Tampakaki, Iro Manne, Angela Pasparaki, Nektarios Tavernarakis, Dimitrios G. Papazoglou, Giannis Zacharakis
https://arxiv.org/abs/2509.12840

Anisotropy enables advanced light sheet microscopy with opaque lenses
Advances in fluorescence microscopy have reached a plateau in improving depth-to-resolution ratios for imaging scattering tissues, highlighting an urgent need for innovative techniques. We introduce Wavelens, a groundbreaking opaque lens that combines dynamic wavefront shaping with a passive, angularly anisotropic photonic scattering plate-designed to scatter light predominantly in one direction. This compact, robust optoelectronic device, comparable in size to a conventional microscope lens, d…

🇺🇦 #NowPlaying on KEXP's #VarietyMix
LL Cool J:
🎵 Loungin’ (Who Do Ya Luv) (remix)
#LLCoolJ
https://thecoreofourstrategy.bandcamp.com/track/ll-cool-j-loungin-swamis-dub

Donald no Magical World
https://tcrf.net/Donald_no_Magical_World

🇺🇦 #NowPlaying on BBCRadio3's #20thCenturyRadicals
Chou Wen‐chung, The Group for Contemporary Music & Charles Wuorinen:
🎵 Cursive (extract)
#ChouWenchung #TheGroupforContemporaryMusic #CharlesWuorinen

🇺🇦 #NowPlaying on #BBC6Music's #CraigCharles
The Cribs:
🎵 A Point Too Hard To Make
#TheCribs
https://open.spotify.com/track/73ev4t9UxJDFLo8KgkOFIO

🇺🇦 #NowPlaying on #KEXP's #WoPop
The Garifuna Collective:
🎵 Ideruni (TRIPICAL TROPICAL REWORK)
#TheGarifunaCollective
https://tripicaltropical.bandcamp.com/track/the-garifuna-collective-ideruni-help-tripical-tropical-rework

🇺🇦 #NowPlaying on #BBC6Music's #DonLettsCultureClashRadio
The Aggrovators & Jackie Edwards:
🎵 The Inversion (Prince Faftty MIx)
#TheAggrovators #JackieEdwards
https://open.spotify.com/track/1hs7ktsAhjWi4oQMAFtknK