Abstract
In this section F is a non-Archimedean local field of residue characteristic not equal to 2. Let E/F be a field extension of degree 4 with an involution σ which has fixed field E+ such that [E : E+] = 2. Let q be the number of elements in the residue field of E+. Prime elements will be denoted πE+. We write E+ = F(\(\sqrt{A}\)) for some element A ? F? assuming A = A0 to be normalized, i.e., chosen integral with minimal possible order. Then oE+ = oF + oF\(\sqrt{A}\).
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© 2009 Springer-Verlag Berlin Heidelberg
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Weissauer, R. (2009). A special Case of the Fundamental Lemma II. In: Endoscopy for GSp(4) and the Cohomology of Siegel Modular Threefolds. Lecture Notes in Mathematics(), vol 1968. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89306-6_7
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DOI: https://doi.org/10.1007/978-3-540-89306-6_7
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