8 papers
On skew partial derivatives and a Hermite-type interpolation problem
Jonathan Armando Briones Donoso, Andrea Luigi Tironi
Let be a multivariate skew polynomial ring over a division ring . In this paper, we introduce the notion of right and left $(σ,δ)…
Some Fano manifolds whose Hilbert polynomial is totally reducible over
Antonio Lanteri, Andrea Luigi Tironi
Let be any Fano manifold polarized by a positive multiple of its fundamental divisor . The polynomial defining the Hilbert curve of boils down to being the Hilbe…
On a Homma-Kim conjecture for nonsingular hypersurfaces
Andrea Luigi Tironi
Let be a nonsingular hypersurface of degree in the projective space defined over a finite field of elements. We prove a Homma-…
Lower and upper bounds for some generalized arcs
Alexis E. Almendras Valdebenito, Andrea Luigi Tironi
Let be a field with elements. In this note, we study some generalized arcs, that is, sets of -points in the projective plane $\mathbb{P}^2(\mathbb{…
The Hilbert curve of a 4-dimensional scroll with a divisorial fiber
Antonio Lanteri, Andrea Luigi Tironi
In dimension adjunction theoretic scrolls over a smooth -fold may not be classical scrolls, due to the existence of divisorial fibers. A -dimensional scroll…
Hilbert curve characterizations of some relevant polarized manifolds
Antonio Lanteri, Andrea Luigi Tironi
Hilbert curves of special varieties like Fano manifolds of low coindex as well as fibrations having such a manifold as general fiber, endowed with appropriate polarizations, are in…