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.
Ramification of Quaternion Algebras over Stable Elliptic Surfaces
Arvid Perego
2009-01-01
Abstract
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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