Author

L. Capuano

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Preprint Sep 2026

Singular intersections in split semiabelian varieties

Let $\mathcal G$ be a split semiabelian variety of dimension $n \ge 2$ and let $\mathcal C \subset \mathcal G$ an irreducible curve, where everything is defined over $\overline{\mathbb{Q}}$. We prove that, under the natural hypothesis that $\mathcal C$ is not contained in any proper algebraic subgroup of $\mathcal G$,...

Francesco Ballini, L. Capuano, Nicola Ottolini · 0 citations

Preprint Oct 2026

Degeneracy loci and unlikely intersections in abelian schemes

Let $\mathcal{A}\to S$ be an abelian scheme over a normal quasi-projective variety over a number field, and let $\mathcal{X}\subseteq\mathcal{A}$ be a positive-dimensional subvariety. For every integer $t>0$, we prove that, outside the $t$-degeneracy locus of $\mathcal{X}$, at most finitely many points lie in flat grou...

Fabrizio Barroero, L. Capuano, Tang-Li Ge et al. · 0 citations