AbstractFix an integral variety X⊂Pn, P∈Pn, and an integer k>0. Let S(X,P,k) be the set of all subsets S⊂X such that ♯(S)=k, P∈〈S〉 and P∉〈S′〉 for any S′⫋S. Here we study S(X,P,k) (non-emptiness and dimension) in the extremal case k=n−dim(X)+1
A well-known theorem by Alexander–Hirschowitz states that all the higher secant varieties of Vn,d (...
We completely describe the higher secant dimensions of all connected homogeneous projective varietie...
Abstract. Fix Integers n> 0, k> 0. Here we prove the existence on an integer d(n, k) with the ...
Abstract Fix an integral variety X ⊂ P n , P ∈ P n , and an integer k > 0. Let S ( X , P , k ) be th...
International audienceWe give upper bounds for the dimension of the set of hypersurfaces of $\mathbb...
AbstractFix an integral variety X⊂Pn, P∈Pn, and an integer k>0. Let S(X,P,k) be the set of all subse...
Given a set Γ of low-degree k-dimensional varieties in R[superscript n], we prove that for any D ⩾ 1...
Let \(X\subset\mathbb{P}^n\) be an integral and non-degenerate \(m\)-dimensional variety defined ove...
Let\ua0X\ua0⊂ ℙn\ua0be a projective geometrically integral variety over of dimension\ua0r\ua0and deg...
AbstractSuppose that A is a finite set-system of N elements with the property |A ∩ A′| = 0, 1 or k f...
Abstract. Let X ⊂ Pn be an integral non-degenerate m-dimensional variety defined over an algebraical...
Let $X$ be a projective variety over a number field $K$ (resp. over $\mathbb{C}$). Let $H$ be the su...
AbstractWe investigate how the dimension of a set X contained in lp can change as p is varied.Assume...
If V is a smooth projective variety defined over a local field K with fi- nite residue field, so tha...
Let Xn be an affine variety of dimension n and Yn be a quasi-projective variety of the same dimensio...
A well-known theorem by Alexander–Hirschowitz states that all the higher secant varieties of Vn,d (...
We completely describe the higher secant dimensions of all connected homogeneous projective varietie...
Abstract. Fix Integers n> 0, k> 0. Here we prove the existence on an integer d(n, k) with the ...
Abstract Fix an integral variety X ⊂ P n , P ∈ P n , and an integer k > 0. Let S ( X , P , k ) be th...
International audienceWe give upper bounds for the dimension of the set of hypersurfaces of $\mathbb...
AbstractFix an integral variety X⊂Pn, P∈Pn, and an integer k>0. Let S(X,P,k) be the set of all subse...
Given a set Γ of low-degree k-dimensional varieties in R[superscript n], we prove that for any D ⩾ 1...
Let \(X\subset\mathbb{P}^n\) be an integral and non-degenerate \(m\)-dimensional variety defined ove...
Let\ua0X\ua0⊂ ℙn\ua0be a projective geometrically integral variety over of dimension\ua0r\ua0and deg...
AbstractSuppose that A is a finite set-system of N elements with the property |A ∩ A′| = 0, 1 or k f...
Abstract. Let X ⊂ Pn be an integral non-degenerate m-dimensional variety defined over an algebraical...
Let $X$ be a projective variety over a number field $K$ (resp. over $\mathbb{C}$). Let $H$ be the su...
AbstractWe investigate how the dimension of a set X contained in lp can change as p is varied.Assume...
If V is a smooth projective variety defined over a local field K with fi- nite residue field, so tha...
Let Xn be an affine variety of dimension n and Yn be a quasi-projective variety of the same dimensio...
A well-known theorem by Alexander–Hirschowitz states that all the higher secant varieties of Vn,d (...
We completely describe the higher secant dimensions of all connected homogeneous projective varietie...
Abstract. Fix Integers n> 0, k> 0. Here we prove the existence on an integer d(n, k) with the ...
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