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Classification of Bagnera–de Franchis Varieties in Small Dimensions
- Source :
- Annales de la Faculté des sciences de Toulouse : Mathématiques. 29:111-133
- Publication Year :
- 2020
- Publisher :
- Cellule MathDoc/CEDRAM, 2020.
-
Abstract
- A Bagnera-de Franchis variety $X = A/G$ is the quotient of an abelian variety $A$ by a free action of a finite cyclic group $G \subset Bihol(A)$, which does not contain only translations. Constructing explicit polarizations and using a method introduced by F. Catanese, we classify split Bagnera-de Franchis varieties up to complex conjugation in dimensions $\leq 4$.
Details
- ISSN :
- 22587519
- Volume :
- 29
- Database :
- OpenAIRE
- Journal :
- Annales de la Faculté des sciences de Toulouse : Mathématiques
- Accession number :
- edsair.doi...........d21a95f9e53af0a2ef83ce15cc6ee9c6