Zobrazeno 1 - 10
of 480
pro vyhledávání: '"Edoardo Ballico"'
Autor:
Edoardo Ballico
Publikováno v:
Foundations, Vol 4, Iss 3, Pp 306-323 (2024)
We study the multiviews of algebraic space curves X from n pin-hole cameras of a real or complex projective space. We assume the pin-hole centers to be known, i.e., we do not reconstruct them. Our tools are algebro-geometric. We give some general the
Externí odkaz:
https://doaj.org/article/d726c1a860cc409abada5a9a53857f2d
Autor:
Edoardo Ballico
Publikováno v:
Arab Journal of Mathematical Sciences, Vol 30, Iss 2, Pp 245-255 (2024)
Purpose – The author studies forms over finite fields obtained as the determinant of Hermitian matrices and use these determinatal forms to define and study the base polynomial of a square matrix over a finite field. Design/methodology/approach –
Externí odkaz:
https://doaj.org/article/4936b47a9e3a4f749a3560a9fb80397e
Autor:
Edoardo Ballico
Publikováno v:
AppliedMath, Vol 4, Iss 2, Pp 529-543 (2024)
We study properties of the minimal Terracini loci, i.e., families of certain zero-dimensional schemes, in a projective plane. Among the new results here are: a maximality theorem and the existence of arbitrarily large gaps or non-gaps for the integer
Externí odkaz:
https://doaj.org/article/29065e9958fc4617baaab91d538e67ad
Autor:
Edoardo Ballico
Publikováno v:
Symmetry, Vol 16, Iss 10, p 1300 (2024)
For all integers n≥1 and k≥2, the Hadamard product v1★⋯★vk of k elements of Kn+1 (with K being the complex numbers or real numbers) is the element v∈Kn+1 which is the coordinate-wise product of v1,…,vk (introduced by Cueto, Morton, and
Externí odkaz:
https://doaj.org/article/87ec4ef992694355874619b8a74e2713
Autor:
Edoardo Ballico
Publikováno v:
AppliedMath, Vol 3, Iss 3, Pp 690-701 (2023)
Let X be a smooth projective variety and f:X→Pr a morphism birational onto its image. We define the Terracini loci of the map f. Most results are only for the case dimX=1. With this new and more flexible definition, it is possible to prove strong n
Externí odkaz:
https://doaj.org/article/b4dc0dc3374a4fd0ac4d94ca0b17588d
Autor:
Edoardo Ballico
Publikováno v:
Cubo, Vol 25, Iss 2, Pp 331-347 (2023)
Let $X\subset \PP^r$ be an integral projective variety. We study the dimensions of the joins of several copies of the osculating varieties $J(X,m)$ of $X$. Our methods are general, but we give a full description in all cases only if $X$ is a linearly
Externí odkaz:
https://doaj.org/article/22dd748c68db47fca8a7b3c8ed834013
Autor:
Edoardo Ballico
Publikováno v:
Mathematics, Vol 12, Iss 9, p 1274 (2024)
We prove a strong theorem on the partial non-defectivity of secant varieties of embedded homogeneous varieties developing a general set-up for families of subvarieties of Grassmannians. We study this type of problem in the more general set-up of join
Externí odkaz:
https://doaj.org/article/966cf0a469994a9ba9566332335b1868
Autor:
Edoardo Ballico
Publikováno v:
Axioms, Vol 13, Iss 4, p 271 (2024)
We continue the study of Terracini loci formed by x points of a variety embedded in a projective space. Our main results are a refined study of Terracini loci arising from linear projections, the description of the maximal x with a non-empty Terracin
Externí odkaz:
https://doaj.org/article/d3dcff1b1881490bace8965087836eab
Autor:
Edoardo Ballico
Publikováno v:
Axioms, Vol 13, Iss 1, p 50 (2024)
We study two quite different types of Terracini loci for the order d-Veronese embedding of an n-dimensional projective space: the minimal one and the primitive one (defined in this paper). The main result is that if n=4, d≥19 and x≤2d, no subset
Externí odkaz:
https://doaj.org/article/8c7011340a6840d7a396c5facb6c83ed
Autor:
Edoardo Ballico
Publikováno v:
AppliedMath, Vol 2, Iss 3, Pp 457-465 (2022)
Let X⊂Pr be an integral and non-degenerate variety. A “cost-function” (for the Zariski topology, the semialgebraic one, or the Euclidean one) is a semicontinuous function w:=[1,+∞)∪+∞ such that w(a)=1 for a non-empty open subset of X. For
Externí odkaz:
https://doaj.org/article/35365dd67a604a41b5fa62d6be2d1548