Zobrazeno 1 - 10
of 87
pro vyhledávání: '"De Poi, Pietro"'
Autor:
Chiantini, Luca, De Poi, Pietro, Farnik, Lucja, Favacchio, Giuseppe, Harbourne, Brian, Ilardi, Giovanna, Migliore, Juan, Szemberg, Tomasz, Szpond, Justyna
The purpose of this work is to pursue classification of geproci sets. Specifically we classify $[m,n]$-geproci sets which consist of $m=4$ points on each of $n$ skew lines, assuming the skew lines have two transversals in common. We show that in this
Externí odkaz:
http://arxiv.org/abs/2312.04644
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:
Chiantini, Luca, De Poi, Pietro, Farnik, Łucja, Favacchio, Giuseppe, Harbourne, Brian, Ilardi, Giovanna, Migliore, Juan, Szemberg, Tomasz, Szpond, Justyna
Publikováno v:
In Journal of Pure and Applied Algebra January 2025 229(1)
Publikováno v:
in Adv. in App. Math. 120 September 2020
We introduce a novel construction which allows us to identify the elements of the skeletons of a CW-complex $P(m)$ and the monomials in $m$ variables. From this, we infer that there is a bijection between finite CW-subcomplexes of $P(m)$, which are q
Externí odkaz:
http://arxiv.org/abs/2005.01501
Autor:
De Poi, Pietro, Ilardi, Giovanna
Publikováno v:
Ann. Univ. Paedagog. Crac. Stud. Math. 18 (2019), 21--33
This article presents the theory of focal locus applied to the hypersurfaces in the projective space which are (finitely) covered by linear spaces and such that the tangent space is constant along these spaces.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/1903.06967
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
We study congruences of lines $X_\omega$ defined by a sufficiently general choice of an alternating 3-form $\omega$ in $n+1$ dimensions, as Fano manifolds of index $3$ and dimension $n-1$. These congruences include the $\mathrm{G}_2$-variety for $n=6
Externí odkaz:
http://arxiv.org/abs/1606.04715
Autor:
Bastianelli, Francesco, De Poi, Pietro
This note is an appendix to 'Measures of irrationality for hypersurfaces of large degree' by L. Ein, R. Lazarsfeld and B. Ullery. We prove an existence result for families of curves having low gonality, and lying on fundamental loci of first order co
Externí odkaz:
http://arxiv.org/abs/1511.01366
Publikováno v:
Compositio Math. 153 (2017) 2368-2393
We study various measures of irrationality for hypersurfaces of large degree in projective space and other varieties. These include the least degree of a rational covering of projective space, and the minimal gonality of a covering family of curves.
Externí odkaz:
http://arxiv.org/abs/1511.01359
Autor:
De Poi, Pietro, Ilardi, Giovanna
We prove that the general fibre of the $i$-th Gauss map has dimension $m$ if and only if at the general point the $(i+1)$-th fundamental form consists of cones with vertex a fixed $\mathbb P^{m-1}$, extending a known theorem for the usual Gauss map.
Externí odkaz:
http://arxiv.org/abs/1504.02739