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pro vyhledávání: '"Fiorindo, Luca"'
Autor:
Fiorindo, Luca
Let $R$ be a finitely $\mathbb{N}$-graded algebra over a Noetherian ring. In this paper we study the asymptotic behaviour of the so called $v$-number $\mathrm{w}_P(J^{\underline{n}}M/I^{\underline{n}}N)$ as function of $\underline{n}$ where $N\subset
Externí odkaz:
http://arxiv.org/abs/2401.17815
Autor:
Fiorindo, Luca, Ghosh, Dipankar
The notion of Vasconcelos invariant, known in the literature as v-number, of a homogeneous ideal in a polynomial ring over a field was introduced in 2020 to study the asymptotic behaviour of the minimum distance of projective Reed-Muller type codes.
Externí odkaz:
http://arxiv.org/abs/2401.16358
We consider generalizations of certain arithmetic complexes appearing in work of Raicu and VandeBogert in connection with the study of stable sheaf cohomology on flag varieties. Defined over the ring of integer valued polynomials, we prove an isomorp
Externí odkaz:
http://arxiv.org/abs/2309.17416
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
Autor:
Fiorindo, Luca
The aim is to study Perazzo hypersurfaces $X=V(F)\subseteq\mathbb{P}(K^5)$, defined by $F(x_0,x_1,x_2,u,v) = p_0(u,v)x_0+p_1(u,v)x_1+p_2(u,v)x_2+g(u,v)$, where $p_0,p_1,p_2$ are algebraically dependent, but linearly independent forms of degree $d-1$
Externí odkaz:
http://arxiv.org/abs/2212.11801
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
Publikováno v:
In Journal of Algebra 15 July 2023 626:56-81