Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Maazouz, Yassine"'
We investigate determinantal varieties for symmetric matrices that have zero blocks along the main diagonal. In theoretical physics, these arise as Gram matrices for kinematic variables in quantum field theories. We study the ideals of relations amon
Externí odkaz:
http://arxiv.org/abs/2411.08624
The spinor-helicity formalism in particle physics gives rise to natural subvarieties in the product of two Grassmannians. These include two-step flag varieties for subspaces of complementary dimension. Taking Hadamard products leads to Mandelstam var
Externí odkaz:
http://arxiv.org/abs/2406.17331
We study the topology of the moduli space of unramified $\mathbb{Z}/p$-covers of tropical curves of genus $g \geq 2$, where $p$ is a prime number. We use recent techniques by Chan--Galatius--Payne to identify contractible subcomplexes of the moduli s
Externí odkaz:
http://arxiv.org/abs/2403.06624
Autor:
Maazouz, Yassine El, Pitman, Jim
The factorially normalized Bernoulli polynomials $b_n(x) = B_n(x)/n!$ are known to be characterized by $b_0(x) = 1$ and $b_n(x)$ for $n >0$ is the antiderivative of $b_{n-1}(x)$ subject to $\int_0^1 b_n(x) dx = 0$. We offer a related characterization
Externí odkaz:
http://arxiv.org/abs/2210.02027
Autor:
Maazouz, Yassine EL, Lerario, Antonio
We prove that if $p>d$ there is a unique gaussian distribution (in the sense of Evans) on the space $\mathbb{Q}_p[x_1, \ldots, x_n]_{(d)}$ which is invariant under the action of $\mathrm{GL}(n, \mathbb{Z}_p)$ by change of variables. This gives the no
Externí odkaz:
http://arxiv.org/abs/2209.13634
Autor:
Maazouz, Yassine El, Kaya, Enis
We give a method for sampling points from an algebraic manifold (affine or projective) over a local field with a prescribed probability distribution. In the spirit of the previous work by Breiding and Marigliano on real algebraic manifolds, our metho
Externí odkaz:
http://arxiv.org/abs/2207.05911
Publikováno v:
Glasgow Mathematical Journal , Volume 66 , Issue 1 , January 2024 , pp. 65 - 87
We express the reduction types of Picard curves in terms of tropical invariants associated to binary quintics. We also give a general framework for tropical invariants associated to group actions on arbitrary varieties. The problem of finding tropica
Externí odkaz:
http://arxiv.org/abs/2206.00420
Autor:
Bohner, Marc, Bigolin, Fabrizio, Bohner, Isabelle, Imwinkelried, Thomas, Maazouz, Yassine, Michel, Pascal, Stähli, Christoph, Viecelli, Yves, Döbelin, Nicola
Publikováno v:
In Open Ceramics September 2024 19
We study lines on smooth cubic surfaces over the field of $p$-adic numbers, from a theoretical and computational point of view. Segre showed that the possible counts of such lines are $0,1,2,3,5,7,9,15$ or $27$. We show that each of these counts is a
Externí odkaz:
http://arxiv.org/abs/2202.03489
Bolytropes are bounded subsets of an affine building that consist of all points that have distance at most $r$ from some polytrope. We prove that the points of a bolytrope describe the set of all invariant lattices of a bolytrope order, generalizing
Externí odkaz:
http://arxiv.org/abs/2111.11244