Smooth quotients of bi-elliptic surfaces
classification
🧮 math.AG
keywords
bi-ellipticsurfacegaloissmoothautomorphismcannotconsidercorollary
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We consider the quotient X of bi-elliptic surface by a finite automorphism group. If X is smooth, then it is a bi-elliptic surface or ruled surface with irregularity one. As a corollary any bi-elliptic surface cannot be Galois covering of projective plane, hence does not have any Galois embedding.
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