F. Bastianelli

activity

20242026

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

Indecomposability of derived categories in families

Francesco Bastianelli, Pieter Belmans, Shinnosuke Okawa +1

Using the moduli space of semiorthogonal decompositions in a smooth projective family, introduced by the second, the third and the fourth author, we propose a novel approach to ind…

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.AG2024

Moving curves of least gonality on symmetric products of curves

Francesco Bastianelli, Nicola Picoco

This paper is a sequel of arXiv:2208.00990. Let $C$ be a smooth complex projective curve of genus $g$ and let $C^{(k)}$ be its $k$ -fold symmetric product. The covering gonality of…