Smooth quotients of bi-elliptic surfaces
Algebraic Geometry
2016-07-06 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1607.01087,
title = {Smooth quotients of bi-elliptic surfaces},
author = {Hisao Yoshihara},
journal= {arXiv preprint arXiv:1607.01087},
year = {2016}
}