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Motivic Mahowald invariants over general base fields

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 نشر من قبل J.D. Quigley
 تاريخ النشر 2019
  مجال البحث
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 تأليف J.D. Quigley




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The motivic Mahowald invariant was introduced in cite{Qui19a} and cite{Qui19b} to study periodicity in the $mathbb{C}$- and $mathbb{R}$-motivic stable stems. In this paper, we define the motivic Mahowald invariant over any field $F$ of characteristic not two and use it to study periodicity in the $F$-motivic stable stems. In particular, we construct lifts of some of Adams classical $v_1$-periodic families cite{Ada66} and identify them as the motivic Mahowald invariants of powers of $2+rho eta$.



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