F. Bastianelli

activity

20182026

collaborators

4 papers

math.AG2026

Subvarieties of complete intersections of large degree

Francesco Bastianelli, Gianluca Pacienza

We study subvarieties of very general complete intersections $X \subset P^{n}$ of multidegree $(d_{1}, \dots, d_{c})$ , when $d := d_{1} + \dots + d_{c}$ is sufficiently large. In a seminal…

math.AG2025

The Caporaso-Harris-Ran degeneration principle: proof and applications

Francesco Bastianelli, Ciro Ciliberto, Thomas Dedieu +3

Severi varieties are the parameter spaces for curves with prescribed homology class and genus on a smooth surface. We describe their limits along degenerations of surfaces, with a…

math.AG2020

On Fano schemes of linear spaces of general complete intersections

F. Bastianelli, C. Ciliberto, F. Flamini +1

We consider the Fano scheme $F_{k} (X)$ of $k$ --dimensional linear subspaces contained in a complete intersection $X \subset P^{n}$ of multi--degree $\underline{d} = (d_1, \ldo…

math.AG2018

On complete intersections containing a linear subspace

Francesco Bastianelli, Ciro Ciliberto, Flaminio Flamini +1

Consider the Fano scheme $F_{k} (Y)$ parameterizing $k$ -dimensional linear subspaces contained in a complete intersection $Y \subset P^{m}$ of multi-degree $\underline{d} = (d_…