Add to ORKGWe consider the $k$-osculating varieties $O_{k,d}$ to the Veronese $d-$uple embeddings of $mathbb{P}^{2}$. By studying the Hilbert function of certain zero--dimensional schemes $Ysubset mathbb{P}^2$, we find the dimension of $O^s_{k,d}$, the $(s-1)^{th}$secant varieties of $O_{k,d}$, for $3 leq sleq 6$ and $s=9$, and we determine whether those secant varieties are defective or not
We prove a conjecture stated by Catalisano, Geramita, and Gimigliano in 2002, which claims that the ...
We compute the dimensions of all the secant varieties to the tangential varieties of all Segre–Veron...
We determine for all values of (a,b,c), the dimension of the secant varieties of the (a,b,c)-embeddi...
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 (t...
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 (...
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 ...
Let $X^{(n,m)}_{(1,d)}$ denote the Segre-Veronese embedding of $\mathbb{P}^n \times \mathbb{P}^m$ vi...
Abstract. Let Xm,n be the Segre-Veronese variety Pm×Pn embedded by the morphism given by O(1, 2). In...
We prove a conjecture stated by Catalisano, Geramita, and Gimigliano in 2002, which claims that the ...
We compute the dimensions of all the secant varieties to the tangential varieties of all Segre–Veron...
We determine for all values of (a,b,c), the dimension of the secant varieties of the (a,b,c)-embeddi...
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 (t...
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 (...
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 ...
Let $X^{(n,m)}_{(1,d)}$ denote the Segre-Veronese embedding of $\mathbb{P}^n \times \mathbb{P}^m$ vi...
Abstract. Let Xm,n be the Segre-Veronese variety Pm×Pn embedded by the morphism given by O(1, 2). In...
We prove a conjecture stated by Catalisano, Geramita, and Gimigliano in 2002, which claims that the ...
We compute the dimensions of all the secant varieties to the tangential varieties of all Segre–Veron...
We determine for all values of (a,b,c), the dimension of the secant varieties of the (a,b,c)-embeddi...
