Hermitian 𝑢-invariants over function fields of 𝑝-adic curves

Wu, Zhengyao

doi:10.1090/proc/13413

Hermitian $u$-invariants over function fields of $p$-adic curves
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Proc. Amer. Math. Soc. 146 (2018), 909-920 Request permission

Erratum: Proc. Amer. Math. Soc. 148 (2020), 3657-3659.

Abstract:

Let $p$ be an odd prime. Let $F$ be the function field of a $p$-adic curve. Let $A$ be a central simple algebra of period 2 over $F$ with an involution $\sigma$. There are known upper bounds for the $u$-invariant of hermitian forms over $(A, \sigma )$. In this article we compute the exact values of the $u$-invariant of hermitian forms over $(A, \sigma )$.

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