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arxiv: math/0701297 · v1 · pith:CJ6ET4USnew · submitted 2007-01-10 · 🧮 math.AG

Ramification of Quaternion Algebras over Stable Elliptic Surfaces

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keywords algebraellipticquaternionstablealgebrasazumayacriteriondetermine
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We give a geometrical criterion to determine when a quaternion algebra over the function field of a stable elliptic surface X is an Azumaya algebra over X.

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