Work

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

Year: 2015

Type: preprint

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 $σ$. There are known upper bounds for the $u$-invariant of hermitian forms over $(A, σ)$. In this article we compute the exact values of the $u$-invariant of hermitian forms over $(A, σ)$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1512.06921

Author: Wu, Zhengyao

Institution: Emory University

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2952370939

Cites: 15

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Related to: 10