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arXiv · 1908.05353

Epsilon factors of symplectic type characters in the wild case

Sazzad Ali Biswas
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Abstract

By work of John Tate we can associate an epsilon factor with every multiplicative character of a local field. In this paper we determine the explicit signs of the epsilon factors for symplectic type characters of $K^\times$, where $K/F$ is a wildly ramified quadratic extension of a non-Archimedean local field $F$ of characteristic zero.

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Sazzad Ali Biswas. 2019-08-14. Epsilon factors of symplectic type characters in the wild case. https://arxiv.org/abs/1908.05353

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