Francesco Pavese

activity

20162024

collaborators

7 papers

math.CO2024

Affine vector space partitions and spreads of quadrics

Somi Gupta, Francesco Pavese

An affine spread is a set of subspaces of $AG (n, q)$ of the same dimension that partitions the points of $AG (n, q)$ . Equivalently, an {\em affine spread} is a set…

math.CO2023

An infinite family of $m$ -ovoids of the hyperbolic quadrics $Q^{+} (7, q)$

Francesco Pavese, Hanlin Zou

An infinite family of $(q^{2} + q + 1)$ -ovoids of $Q^{+} (7, q)$ , $q \equiv 1 (mod 3)$ , admitting the group $PGL (3, q)$ , is constructed. The main tool is the general theory…

math.CO2023

On 4-general sets in finite projective spaces

Francesco Pavese

A $4$ -general set in $PG (n, q)$ is a set of points of $PG (n, q)$ spanning the whole $PG (n, q)$ and such that no four of them are on a plane. Such a pointset is said…

math.CO2023

On the geometry of the Hermitian Veronese curve and its quasi-Hermitian surfaces

Michel Lavrauw, Stefano Lia, Francesco Pavese

The complete classification of the orbits on subspaces under the action of the projective stabiliser of (classical) algebraic varieties is a challenging task, and few classificatio…

math.CO2022

On the geometry of a $(q + 1)$ -arc of $PG (3, q)$ , q even

Michela Ceria, Francesco Pavese

In $PG (3, q)$ , $q = 2^{n}$ , $n \geq 3$ , let $A = {(1, t, t^{2^{h}}, t^{2^{h} + 1}) ∣ t \in F_{q}} \cup {(0, 0, 0, 1)}$ , with $gcd (n, h) = 1$ , be a $(q + 1)$ -ar…

math.CO2022

The $m$ -ovoids of $W (5, 2)$

Michela Ceria, Francesco Pavese

In this paper we are concerned with $m$ -ovoids of the symplectic polar space $W (2 n + 1, q)$ , $q$ even. In particular we show the existence of an elliptic quadric of ${\rm PG}(…

Affine vector space partitions and spreads of quadrics

An infinite family of m-ovoids of the hyperbolic quadrics Q+(7,q)

On 4-general sets in finite projective spaces

On the geometry of the Hermitian Veronese curve and its quasi-Hermitian surfaces

On the geometry of a (q+1)-arc of PG(3,q), q even

The m-ovoids of W(5,2)

An infinite family of $m$ -ovoids of the hyperbolic quadrics $Q^{+} (7, q)$

On the geometry of a $(q + 1)$ -arc of $PG (3, q)$ , q even

The $m$ -ovoids of $W (5, 2)$