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arXiv · 2404.00561

Epsilon dichotomy for twisted linear models

Hang Xue·Pan Yan
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Abstract

Let $E/F$ be a quadratic extension of local nonarchimedean fields of characteristic zero and let $D$ be a quaternion algebra over $F$ containing $E$. In this paper, we study a relation between the existence of twisted linear models on $\mathrm{GL}_n(D)$ and the local root numbers.

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Hang Xue, Pan Yan. 2024-03-31. Epsilon dichotomy for twisted linear models. https://doi.org/10.2140/pjm.2025.334.59

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