Add to ORKGWe consider the k-osculating varieties O(k,d) to the Veronese d-uple embeddings of P2. By studying the Hilbert function of certain zero-dimensional schemes Y subset of P2, we find the dimension of O^s(k,d), the (s - 1)-th secant varieties of O(k,d), for 3 64 s 64 6 and s = 9, and we determine whether those secant varieties are defective or not
We compute the dimensions of all the secant varieties to the tangential varieties of all Segre–Veron...
We prove a conjecture stated by Catalisano, Geramita, and Gimigliano in 2002, which claims that the ...
Let $X^{(n,m)}_{(1,d)}$ denote the Segre-Veronese embedding of $\mathbb{P}^n \times \mathbb{P}^m$ vi...
We consider the $k$-osculating varieties $O_{k,d}$ to the Veronese $d-$uple embeddings of $mathbb{P}...
We consider the k-osculating varieties O(k,n,d) to the (Veronese) d-uple embeddings of P^n. We study...
12 pagesInternational audienceWe consider the varieties $O_{k,n.d}$ of the k-osculating spaces to th...
A well-known theorem by Alexander–Hirschowitz states that all the higher secant varieties of Vn,d (...
Abstract. Fix Integers n> 0, k> 0. Here we prove the existence on an integer d(n, k) with the ...
A well-known theorem by Alexander-Hirschowitz states that all the higher secant varieties of Vn,d (t...
We compute the dimensions of all the secant varieties to the tangential varieties of all Segre-Veron...
Let X(1,d) denote the Segre-Veronese embedding of Pn x Pm via the sections of the sheaf O(1, d). We ...
We determine for all values of (a,b,c), the dimension of the secant varieties of the (a,b,c)-embeddi...
Abstract. Let Xm,n be the Segre-Veronese variety Pm×Pn embedded by the morphism given by O(1, 2). In...
We compute the dimensions of all the secant varieties to the tangential varieties of all Segre–Veron...
We prove a conjecture stated by Catalisano, Geramita, and Gimigliano in 2002, which claims that the ...
Let $X^{(n,m)}_{(1,d)}$ denote the Segre-Veronese embedding of $\mathbb{P}^n \times \mathbb{P}^m$ vi...
We consider the $k$-osculating varieties $O_{k,d}$ to the Veronese $d-$uple embeddings of $mathbb{P}...
We consider the k-osculating varieties O(k,n,d) to the (Veronese) d-uple embeddings of P^n. We study...
12 pagesInternational audienceWe consider the varieties $O_{k,n.d}$ of the k-osculating spaces to th...
A well-known theorem by Alexander–Hirschowitz states that all the higher secant varieties of Vn,d (...
Abstract. Fix Integers n> 0, k> 0. Here we prove the existence on an integer d(n, k) with the ...
A well-known theorem by Alexander-Hirschowitz states that all the higher secant varieties of Vn,d (t...
We compute the dimensions of all the secant varieties to the tangential varieties of all Segre-Veron...
Let X(1,d) denote the Segre-Veronese embedding of Pn x Pm via the sections of the sheaf O(1, d). We ...
We determine for all values of (a,b,c), the dimension of the secant varieties of the (a,b,c)-embeddi...
Abstract. Let Xm,n be the Segre-Veronese variety Pm×Pn embedded by the morphism given by O(1, 2). In...
We compute the dimensions of all the secant varieties to the tangential varieties of all Segre–Veron...
We prove a conjecture stated by Catalisano, Geramita, and Gimigliano in 2002, which claims that the ...
Let $X^{(n,m)}_{(1,d)}$ denote the Segre-Veronese embedding of $\mathbb{P}^n \times \mathbb{P}^m$ vi...