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20242026
most citedGroup schemes over LG-rings and applications to cancellation theorems and Azumaya algebras

1 citations

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math.AG2026

Quadratic Spaces and Orthogonal Groups over semilocal Rings

Philippe Gille, Erhard Neher

We prove Springer's Odd Degree Theorem for quadratic forms over LG rings, and Scharlau's and Knebusch's norm principles for quadratic forms over semilocal rings. We present applica…