Ramification of Quaternion Algebras over Stable Elliptic Surfaces

Details Ramification of Quaternion Algebras over Stable Elliptic Surfaces Ramification of Quaternion Algebras over Stable Elliptic Surfaces

2007-01-10

arxiv.org/abs/math/0701297v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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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