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Prime Video names Nicole Clemens, ex-president of Paramount Television Studios, as VP and head of international originals for Prime Video and Amazon MGM Studios (Naman Ramachandran/Variety)
https://variety.com/2025/tv/news/prime-vide…

Prime Video Taps Nicole Clemens to Lead International Originals
Prime Video has named Nicole Clemens as VP and head of international originals for Prime Video and Amazon MGM Studios, effective July 7.

Pornhub's parent company plans to stop serving adult content in France as soon as June 4, in protest of government measures forcing it to verify visitors' ages (Politico)
https://www.politico.eu/article/pornhub-suspend-porn-france/

Pornhub to suspend porn in France
Porn industry giant protests Paris’ measures to verify the age of users.

Pornhub's parent company plans to stop serving adult content in France as soon as June 4, in protest of government measures forcing it to verify visitors' ages (Politico)
https://www.politico.eu/article/pornhub-suspend-porn-france/

Pornhub to suspend porn in France
Porn industry giant protests Paris’ measures to verify the age of users.

$F$-injectivity does not imply $F$-fullness in normal domains
Alessandro De Stefani, Thomas Polstra, Austyn Simpson
https://arxiv.org/abs/2506.00646 https:…

$F$-injectivity does not imply $F$-fullness in normal domains
We construct examples of noetherian three-dimensional local geometrically normal domains of prime characteristic which are $F$-injective but not $F$-full. Along the way, we find examples of two-dimensional local geometrically normal domains which are $F$-injective but not $F$-anti-nilpotent. A crucial theme of our constructions is the behavior of $F$-injectivity along a purely inseparable finite base change.

Recognition by the set of exponents in the prime factorization of the product of element orders
Morteza Baniasad Azad, Mostafa Arabtash
https://arxiv.org/abs/2507.02594

Recognition by the set of exponents in the prime factorization of the product of element orders
Let $G$ be a finite group. Let $ρ(G) = \prod_{g \in G} o(g)={p_1}^{α_1} {p_2}^{α_2} \cdots {p_k}^{α_k}$, where $p_1, p_2, \cdots, p_k$ are distinct prime numbers and $o(g)$ denotes the order of $g \in G$. The set of exponents in the prime factorization of the product of element orders is denoted by $ {\operatorname{Exp}}_ρ(G)$, i.e., $ {\operatorname{Exp}}_ρ(G)=\{α_1,α_2, \cdots,α_k\}$. In this paper, we give a new characterization for some groups by $ {\operatorname{Exp}}_ρ(G)$. We p…

300 000 flygpassagerare drabbade av strejk: ”De tas som gisslan”, hävdar premiärministern. Fackförbunden larmar om underbemanning och säkerhetsrisker. https://www.dn.se/varlden/300-000-flygpassagerare-drabbade-av-strejk-de-tas-som-gisslan/…

300 000 flygpassagerare drabbade av fransk strejk: ”Tas som gisslan”
300 000 flygpassagerare drabbade av fransk strejk mot underbemanning.

Prym varieties and projective structures on Riemann surfaces
Indranil Biswas, Alessandro Ghigi, Luca Vai
https://arxiv.org/abs/2506.02871 https://

Prym varieties and projective structures on Riemann surfaces
Given an étale double covering $π\, :\, \widetilde{C}\, \longrightarrow\, C$ of compact Riemannsurfaces with $C$ of genus at least two, we use the Prym variety of the cover to construct canonical projective structures on both $\widetilde C$ and $C$. This construction can be interpreted as a section of an affine bundle over the moduli space of étale double covers. The $\overline{\partial}$--derivative of this section is a (1,1)--form on the moduli space. We compute this derivative in terms of…

Torsion of $\mathbb Q$-curves over number fields of small odd prime degree
Ivan Novak
https://arxiv.org/abs/2506.00753 https://arxiv.…

Torsion of $\mathbb Q$-curves over number fields of small odd prime degree
We determine all groups which occur as torsion subgroups of $\mathbb Q$-curves defined over number fields of degrees $3$, $5$ and $7$. In particular, we prove that every torsion subgroup of a $\mathbb Q$-curve defined over a number field of degree $3,5$ or $7$ already occurs as a torsion subgroup of an elliptic curve with rational $j$-invariant. As the quadratic case has been solved by Le Fourn and Najman, and the case of extensions of prime degree greater than $7$ has been solved by Cremona an…

Kargo: ad prices fell 4.4% on FAST channels and grew 4.5% on VOD from May to June as big-name subscription services compete with FAST channels for ad dollars (The Information)
https://www.theinformation.com/articles/amazon-prime-videos-tv…

Amazon Prime Video Floods TV Ad Market, Stealing Dollars From FAST Channels
Until recently, it seemed video streaming had a channel for every taste. Fans of the 1970s Western drama “Little House on the Prairie,” for instance, could spend time on the channel by the same name watching old episodes. The same is true for the 1980s crime drama “Murder She Wrote” and the ...

Amazon is shutting down its Freevee app in August, but its content will remain on Prime Video, whether or not users have a Prime subscription (Jorge A. Aguilar/How-To Geek)
https://www.howtogeek.com/this-is-when-amazon-freevee-will-shut-down/
…

This Is When Amazon Freevee Will Shut Down
It's time to switch to Amazon Prime Video if you're still using Freevee.