We will report about a jont work in progress with Ciro Ciliberto about deformations to nodal surfaces of surfaces in P^3 which are double along a line....
I campi quadratici reali, dati dall'aggiunta a \(\mathbb{Q}\) della radice quadrata di un numero positivo che non sia lui stesso un quadrato, sono uno degli oggetti centrali della Teoria dei Numeri cl...
The study of collective dynamics is attracting the interest of different research fields, both due to their wide range of applications and to their ability to model self-organization. The emergence of...
The study of collective dynamics is attracting the interest of different research fields, both due to their wide range of applications and to their ability to model self-organization. The emergence of...
We discuss a differential inclusion arising in the context of bounding effective conductiv- ities of polycrystalline composites. The datum is a set of three positive numbers identified with a positive...
A celebrated theorem by Martens states that the dimension of the locus of line bundles of fixed degree \(d\) with at least \(k\) sections on a smooth, projective, irreducible curve of genus \(g\) does...
Each angle formed by two rays with integer slopes has two basic integer invariants: its height and its width. An angle is called Vitruvian (after a Roman architect Vitruvius advocating proportions bet...
When analyzing the survival threshold for a species in population dynamics, one is led to consider the principal eigenvalue of some indefinite weighted problems in a bounded domain. The minimization o...
The motion of fluids can sometimes be effectively modeled by a finite-dimensional dynamical system. A paradigmatic example is the point vortex model, introduced by Helmholtz in a seminal paper, which ...