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pro vyhledávání: '"Mezzetti, Emilia"'
Autor:
Mezzetti, Emilia, Miró-Roig, Rosa M.
In this paper, we determine the maximum $h_{max}$ and the minimum $h_{min}$ of the Hilbert vectors of Perazzo algebras $A_F$, where $F$ is a Perazzo polynomial of degree $d$ in $n+m+1$ variables. These algebras always fail the Strong Lefschetz Proper
Externí odkaz:
http://arxiv.org/abs/2405.14756
Autor:
Abdallah, Nancy, Altafi, Nasrin, De Poi, Pietro, Fiorindo, Luca, Iarrobino, Anthony, Marques, Pedro Macias, Mezzetti, Emilia, Miró-Roig, Rosa M., Nicklasson, Lisa
We study Hilbert functions, Lefschetz properties, and Jordan type of Artinian Gorenstein algebras associated to Perazzo hypersurfaces in projective space. The main focus lies on Perazzo threefolds, for which we prove that the Hilbert functions are al
Externí odkaz:
http://arxiv.org/abs/2303.16768
We deal with Perazzo 3-folds in $\mathbb P^4$, i.e. hypersurfaces $X=V(f)\subset \mathbb P^4$ of degree $d$ defined by a homogeneous polynomial $f(x_0,x_1,x_2,u,v)=p_0(u,v)x_0+p_1(u,v)x_1+p_2(u,v)x_2+g(u,v)$, where $p_0,p_1,p_2$ are algebraically dep
Externí odkaz:
http://arxiv.org/abs/2206.02723
Autor:
Boralevi, Ada, Mezzetti, Emilia
We give a geometric description of singular pencils of quadrics of constant rank, relating them to the splitting type of some naturally associated vector bundles on $\mathbb{P}^1$. Then we study their orbits in the Grassmannian of lines, under the na
Externí odkaz:
http://arxiv.org/abs/2206.00503
In this note, we study Togliatti systems generated by invariants of the dihedral group $D_{2d}$ acting on $k[x_{0},x_{1},x_{2}]$. This leads to the first family of non monomial Togliatti systems, which we call $GT-$systems with group $D_{2d}$. We stu
Externí odkaz:
http://arxiv.org/abs/2101.09687
Given any diagonal cyclic subgroup $\Lambda \subset GL(n+1,k)$ of order $d$, let $I_d\subset k[x_0,\ldots, x_n]$ be the ideal generated by all monomials $\{m_{1},\ldots, m_{r}\}$ of degree $d$ which are invariants of $\Lambda$. $I_d$ is a monomial To
Externí odkaz:
http://arxiv.org/abs/2012.01958
We study smooth quadric surfaces in the Pfaffian hypersurface in $\mathbb{P}^{14}$ parameterising $6 \times 6$ skew-symmetric matrices of rank at most 4, not intersecting the Grassmannian $\mathbb{G}(1,5)$. Such surfaces correspond to quadratic syste
Externí odkaz:
http://arxiv.org/abs/2008.04292
Publikováno v:
In Journal of Algebra 15 July 2023 626:56-81
The goal of this article is to compare the coefficients in the expansion of the permanent with those in the expansion of the determinant of a three-lines circulant matrix. As an application we prove a conjecture concerning the minimality of Galois-To
Externí odkaz:
http://arxiv.org/abs/1808.08387
Let $d(N )$ (resp. $p(N )$) be the number of summands in the determinant (resp. permanent) of an $N\times N$ circulant matrix $A = (a_{ij} )$ given by $a_{ij} = X_{i+j}$ where $i + j$ should be considered $\mod N$ . This short note is devoted to prov
Externí odkaz:
http://arxiv.org/abs/1806.05905