Smooth quotients of bi-elliptic surfaces

Smooth quotients of bi-elliptic surfaces

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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Veröffentlicht in:Beiträge zur Algebra und Geometrie 2016-11, Vol.57 (4), p.765-769
1. Verfasser: Yoshihara, Hisao
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algebraic Geometry
Convex and Discrete Geometry
Geometry
Mathematics
Mathematics and Statistics
Original Paper
Quotients
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Beschreibung
Zusammenfassung: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.
ISSN:0138-4821
2191-0383
DOI:10.1007/s13366-016-0310-x