Zobrazeno 1 - 10
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pro vyhledávání: '"Pavèse, P."'
Divisible design graphs were introduced in 2011 by Haemers, Kharaghani and Meulenberg. In this paper, we introduce the notion of $q$-analogs of divisible design graphs and show that all $q$-analogs of divisible design graphs come from spreads, and ar
Externí odkaz:
http://arxiv.org/abs/2405.13230
Autor:
Gupta, Somi, Pavese, Francesco
An affine spread is a set of subspaces of $\mathrm{AG}(n, q)$ of the same dimension that partitions the points of $\mathrm{AG}(n, q)$. Equivalently, an {\em affine spread} is a set of projective subspaces of $\mathrm{PG}(n, q)$ of the same dimension
Externí odkaz:
http://arxiv.org/abs/2402.07882
Autor:
Pavese, Francesco, Zou, Hanlin
An infinite family of $(q^2+q+1)$-ovoids of $\mathcal{Q}^+(7,q)$, $q\equiv 1\pmod{3}$, admitting the group $\mathrm{PGL}(3,q)$, is constructed. The main tool is the general theory of generalized hexagons.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2309.06821
Autor:
Pavese, Francesco
A $4$-general set in ${\rm PG}(n,q)$ is a set of points of ${\rm PG}(n,q)$ spanning the whole ${\rm PG}(n,q)$ and such that no four of them are on a plane. Such a pointset is said to be complete if it is not contained in a larger $4$-general set of $
Externí odkaz:
http://arxiv.org/abs/2305.13838
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 classifications are complete. We focus on a particular action of $\PGL(2,q^2)$ (and
Externí odkaz:
http://arxiv.org/abs/2303.01953
Autor:
Acuto, Alberto, Barillà, Paola, Bozzolo, Ludovico, Conterno, Matteo, Pavese, Mattia, Policicchio, Antonio
Deep Reinforcement Learning is emerging as a promising approach for the continuous control task of robotic arm movement. However, the challenges of learning robust and versatile control capabilities are still far from being resolved for real-world ap
Externí odkaz:
http://arxiv.org/abs/2212.11681
In this paper, we give a geometric construction of the three strong non-lifted $(3\mod{5})$-arcs in $\operatorname{PG}(3,5)$ of respective sizes 128, 143, and 168, and construct an infinite family of non-lifted, strong $(t\mod{q})$-arcs in $\operator
Externí odkaz:
http://arxiv.org/abs/2211.16793
Autor:
Ceria, Michela, Pavese, Francesco
In $\mathrm{PG}(3, q)$, $q = 2^n$, $n \ge 3$, let ${\cal A} = \{(1,t,t^{2^h},t^{2^h+1}) \mid t \in \mathbb{F}_q\} \cup \{(0,0,0,1)\}$, with $\mathrm{gcd}(n,h) = 1$, be a $(q+1)$-arc and let $G_h \simeq \mathrm{PGL}(2, q)$ be the stabilizer of $\cal A
Externí odkaz:
http://arxiv.org/abs/2208.00503
Autor:
Ceria, Michela, Pavese, Francesco
In this paper we are concerned with $m$-ovoids of the symplectic polar space ${\cal W}(2n+1, q)$, $q$ even. In particular we show the existence of an elliptic quadric of ${\rm PG}(2n+1, q)$ not polarizing to ${\cal W}(2n+1, q)$ forming a $\left(\frac
Externí odkaz:
http://arxiv.org/abs/2207.01128
In this paper we provide constructive lower bounds on the sizes of the largest partial ovoids of the symplectic polar spaces ${\cal W}(3, q)$, $q$ odd square, $q \not\equiv 0 \pmod{3}$, ${\cal W}(5, q)$ and of the Hermitian polar spaces ${\cal H}(4,
Externí odkaz:
http://arxiv.org/abs/2203.04553