Articles with "global fields" as a keyword



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Similarity of Quadratic Forms Over Global Fields in Characteristic 2

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Published in 2019 at "Advances in Applied Clifford Algebras"

DOI: 10.1007/s00006-019-1006-8

Abstract: Let K be a global function field of characteristic 2. For each non-trivial place v of K, let $$ K_{v} $$ be the completion of K at v. We show that if two non-degenerate quadratic… read more here.

Keywords: global fields; fields characteristic; quadratic forms; forms global ... See more keywords
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Lifting and automorphy of reducible mod p Galois representations over global fields

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Published in 2021 at "Inventiones mathematicae"

DOI: 10.1007/s00222-021-01085-7

Abstract: We extend the lifting methods of our previous paper to lift reducible odd representations $\bar{\rho}:\mathrm{Gal}(\overline{F}/F) \to G(k)$ of Galois groups of global fields $F$ valued in Chevalley groups $G(k)$. Lifting results, when combined with automorphy… read more here.

Keywords: global fields; galois; mod galois; galois representations ... See more keywords
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Global Fields, Institutional Emergence, and the Regulation of Transnational Corporations

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Published in 2020 at "Social Forces"

DOI: 10.1093/sf/soaa038

Abstract: World society theory has developed to become a major sociological perspective on globalization, focusing on the diffusion of global institutions and increasingly on the domestic impact of those institutions. Nevertheless, the emergence of global institutions… read more here.

Keywords: state; institutional emergence; global fields; regulation transnational ... See more keywords