Zobrazeno 1 - 10
of 115
pro vyhledávání: '"Ilardi, Giovanna"'
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
In the present note we construct new families of free and nearly free curves starting from a plane cubic curve $C$ and adding some of its hyperosculating conics. Using obvious group actions, we get new insight into the geometry of the $27$ hyperoscul
Externí odkaz:
http://arxiv.org/abs/2311.08913
Publikováno v:
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 56(7) 2024
Let $R=K[x,y,z]$. A reduced plane curve $C=V(f)\subset \mathbf P^2$ is $free \ $ if its associated module of tangent derivations $\mathrm{Der}(f)$ is a free $R$-module, or equivalently if the corresponding sheaf $T_ {\mathbf P^2 }(-\log C)$ of vector
Externí odkaz:
http://arxiv.org/abs/2306.09443
Autor:
Dimca, Alexandru, Ilardi, Giovanna
We show first that a generic hypersurface $V$ of degree $d\geq 3$ in the complex projective space $ \mathbb{P}^n$ of dimension $n \geq 3$ has at least one hyperplane section $V \cap H$ containing exactly $n$ ordinary double points, alias $A_1$ singul
Externí odkaz:
http://arxiv.org/abs/2301.06952
Publikováno v:
Results in Mathematics 79: Art. Id 11, 31 pages (2024)
In the present note we construct new families of free plane curves starting from a curve $C$ and adding high order inflectional tangent lines of $C$, lines joining the singularities of the curve $C$, or lines in the tangent cone of some singularities
Externí odkaz:
http://arxiv.org/abs/2301.01117
We conjecture that a class of Artinian Gorenstein Hilbert algebras called full Perazzo algebras always have minimal Hilbert function, fixing codimension and length. We prove the conjecture in length four and five, in low codimension. We also prove th
Externí odkaz:
http://arxiv.org/abs/2206.05572
Autor:
Dimca, Alexandru, Ilardi, Giovanna
Let $V:f=0$ be a hypersurface of degree $d \geq 3$ in the complex projective space $\mathbb{P}^n$, $n \geq 3$, having only isolated singularities. Let $M(f)$ be the associated Jacobian algebra and $H: \ell=0$ be a hyperplane in $\mathbb{P}^n$ avoidin
Externí odkaz:
http://arxiv.org/abs/2202.02233
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)
Autor:
Di Gennaro, Roberta, Ilardi, Giovanna, Miró-Roig, Rosa Maria, Szemberg, Tomasz, Szpond, Justyna
Unexpected hypersurfaces are a brand name for some special linear systems. They were introduced around 2017 and are a field of intensive study since then. They attracted a lot of attention because of their close tights to various other areas of mathe
Externí odkaz:
http://arxiv.org/abs/2101.07346
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