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Canonical Maps of general Hypersurfaces in Abelian Varieties
Fabrizio Catanese, Luca Cesarano
The main theorem of this paper is that, for a general pair of an (ample) Hypersurface in an Abelian Variety , the canonical map of is birational onto its i…
Biquadratic addition laws on elliptic curves in and the canonical map of the -Theta divisor
Luca Cesarano
We recall that a smooth ample surface in a general -polarized abelian threefold, which is the pullback of the Theta divisor of a smooth plane quartic curve $…
On birational trivial families and Adjoint quadrics
Luca Cesarano, Luca Rizzi, Francesco Zucconi
Let be a family whose general fiber gives a polarisation of a general Abelian variety where , and $a\g…
Very ampleness of the canonical bundle of surfaces of type (1, 2, 2) on abelian threefolds
Luca Cesarano
The present work deals with the canonical map of smooth, compact complex surfaces of general type in a polarization of type on an abelian threefold. A natural and classic…