A. L. Tironi

activity

20112022

most citedHilbert curve characterizations of some relevant polarized manifolds

2 citations · 4 across the 11 of their papers we have counts for

collaborators

18 papers

math.RA2022

On skew partial derivatives and a Hermite-type interpolation problem

Jonathan Armando Briones Donoso, Andrea Luigi Tironi

Let $R := F [x; σ, δ]$ be a multivariate skew polynomial ring over a division ring $F$ . In this paper, we introduce the notion of right and left $(σ,δ)…

math.AG2022

Some Fano manifolds whose Hilbert polynomial is totally reducible over $Q$

Antonio Lanteri, Andrea Luigi Tironi

Let $(X, L)$ be any Fano manifold polarized by a positive multiple of its fundamental divisor $H$ . The polynomial defining the Hilbert curve of $(X, L)$ boils down to being the Hilbe…

math.RA2021

Resultants of skew polynomials over division rings

Alexis Eduardo Almendras Valdebenito, Jonathan Armando Briones Donoso, Andrea Luigi Tironi

Let $F$ be a division ring. In this paper, we extent some of the main well-known results about the resultant of two univariate polynomials to the more general context of a…

math.AG2020

On a Homma-Kim conjecture for nonsingular hypersurfaces

Andrea Luigi Tironi

Let $X^{n}$ be a nonsingular hypersurface of degree $d \geq 2$ in the projective space $P^{n + 1}$ defined over a finite field $F_{q}$ of $q$ elements. We prove a Homma-…

math.AG2019

Lower and upper bounds for some generalized arcs

Alexis E. Almendras Valdebenito, Andrea Luigi Tironi

Let $F_{q}$ be a field with $q$ elements. In this note, we study some generalized arcs, that is, sets of $F_{q}$ -points in the projective plane $\mathbb{P}^2(\mathbb{…

math.AG2019

The Hilbert curve of a 4-dimensional scroll with a divisorial fiber

Antonio Lanteri, Andrea Luigi Tironi

In dimension $n = 2 m - 2 \geq 4$ adjunction theoretic scrolls over a smooth $m$ -fold may not be classical scrolls, due to the existence of divisorial fibers. A $4$ -dimensional scroll…

math.AG2018★ 2 cited

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…

math.AG2018

On two upper bounds for hypersurfaces involving a Thas' invariant

Andrea Luigi Tironi

Let $X^{n}$ be a hypersurface in $P^{n + 1}$ with $n \geq 1$ defined over a finite field $F_{q}$ of $q$ elements. In this note, we classify, up to projective equivalence…

math.AG2016

Generalized polarized manifolds with low second class

Antonio Lanteri, Andrea Luigi Tironi

On a smooth complex projective variety $X$ of dimension $n$ , consider an ample vector bundle $E$ of rank $r \leq n - 2$ and an ample line bundle $H$ . A numerical character…

cs.IT2016

A note on the duals of skew constacyclic codes

Alexis E. Almendras Valdebenito, Andrea Luigi Tironi

Let $F_{q}$ be a finite field with $q$ elements and denote by $θ : F_{q} \to F_{q}$ an automorphism of $F_{q}$ . In this paper, we deal with skew constacycl…

math.AG2015★ 2 cited

On del Pezzo elliptic varieties of degree $\leq 4$

Antonio Laface, Andrea Luigi Tironi, Luca Ugaglia

\special{html:<a href="hrefstring">} Let $Y$ be a del Pezzo variety of degree $d \leq 4$ and dimension $n \geq 3$ , let $H$ be an ample class such that $- K_{Y} = (n - 1) H$ and let $Z\subset…

cs.IT2015

Some properties of skew codes over finite fields

Luis Felipe Tapia Cuitiño, Andrea Luigi Tironi

After recalling the definition of codes as modules over skew polynomial rings, whose multiplication is defined by using an automorphism and a derivation, and some basic facts about…

math.AG2014

Hypersurfaces achieving the Homma-Kim bound

Andrea Luigi Tironi

Let $X$ be a hypersurface in $P^{N}$ with $N \geq 3$ defined over a finite field. The main result of this note is the classification, up to projective equivalence, of hypersu…

math.AG2014

Varieties of Picard rank one as components of ample divisors

Andrea Luigi Tironi

Let $V$ be an integral normal complex projective variety of dimension $n \geq 3$ and denote by $L$ an ample line bundle on $V$ . By imposing that the li…

cs.IT2013

Dual codes of product semi-linear codes

Luis Felipe Tapia Cuitiño, Andrea Luigi Tironi

Let $F_{q}$ be a finite field with $q$ elements and denote by $θ : F_{q} \to F_{q}$ an automorphism of $F_{q}$ . In this paper, we deal with linear codes of…

math.AG2013

On cubic elliptic varieties

Juergen Hausen, Antonio Laface, Andrea Luigi Tironi +1

Let X->P^(n-1) be an elliptic fibration obtained by resolving the indeterminacy of the projection of a cubic hypersurface Y of P^(n+1) from a line L not contained in Y. We prove th…

math.AG2012

Normal projective varieties of degree 5

Andrea Luigi Tironi

We list the irreducible reduced and not degenerate normal projective varieties $X \subset P^{N}$ of dimension $n$ and degree five defined over an algebraically closed field $k…

math.AG2011

Nefness of adjoint bundles for ample vector bundles of corank 3

Andrea Luigi Tironi

Let $E$ be an ample vector bundle of rank $r \geq 2$ on a smooth complex projective variety $X$ of dimension $n$ . The aim of this paper is to describe the structure of pai…

On skew partial derivatives and a Hermite-type interpolation problem

Some Fano manifolds whose Hilbert polynomial is totally reducible over Q

Resultants of skew polynomials over division rings

On a Homma-Kim conjecture for nonsingular hypersurfaces

Lower and upper bounds for some generalized arcs

The Hilbert curve of a 4-dimensional scroll with a divisorial fiber

Hilbert curve characterizations of some relevant polarized manifolds

On two upper bounds for hypersurfaces involving a Thas' invariant

Generalized polarized manifolds with low second class

A note on the duals of skew constacyclic codes

On del Pezzo elliptic varieties of degree ≤4

Some properties of skew codes over finite fields

Hypersurfaces achieving the Homma-Kim bound

Varieties of Picard rank one as components of ample divisors

Dual codes of product semi-linear codes

On cubic elliptic varieties

Normal projective varieties of degree 5

Nefness of adjoint bundles for ample vector bundles of corank 3

Some Fano manifolds whose Hilbert polynomial is totally reducible over $Q$

On del Pezzo elliptic varieties of degree $\leq 4$