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papers

Publications (4)

math.AG2019

On birational trivial families and Adjoint quadrics

Luca Cesarano, Luca Rizzi, Francesco Zucconi

Let $I ¨ : X \to B$ be a family whose general fiber $X_{b}$ gives a $(d_{1}, ..., d_{a})$ polarisation of a general Abelian variety where $1 \leq d_{i} \leq 2$ , $i = 1, ..., a$ and $a\…

math.AG2022

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 $(1, 2, 2)$ on an abelian threefold. A natural and classic…

math.AG2021

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 $I^¦_{X}$ of $X$ is birational onto its…