Canonical Maps of general Hypersurfaces in Abelian Varieties

Fabrizio Catanese, Luca Cesarano

The main theorem of this paper is that, for a general pair $(A,X)$ of an (ample) Hypersurface $X$ in an Abelian Variety $A$, the canonical map ${\Phi }_X$ of $X$ is birational onto its i…