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- W4387294095 abstract "Let $p$ be a prime number and let $F$ be a field of characteristic different from $p$. We prove that there exist a field extension $L/F$ and $a,b,c,d$ in $L^{times}$ such that $(a,b)=(b,c)=(c,d)=0$ in $mathrm{Br}(F)[p]$ but $langle a,b,c,drangle$ is not defined over $L$. Thus the Strong Massey Vanishing Conjecture at the prime $p$ fails for $L$, and the cochain differential graded ring $C^*(Gamma_L,mathbb{Z}/pmathbb{Z})$ of the absolute Galois group $Gamma_L$ of $L$ is not formal. This answers a question of Positselski." @default.
- W4387294095 created "2023-10-03" @default.
- W4387294095 creator A5008014858 @default.
- W4387294095 creator A5059505346 @default.
- W4387294095 date "2023-09-29" @default.
- W4387294095 modified "2023-10-04" @default.
- W4387294095 title "Non-formality of Galois cohomology modulo all primes" @default.
- W4387294095 doi "https://doi.org/10.48550/arxiv.2309.17004" @default.
- W4387294095 hasPublicationYear "2023" @default.
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