Add to ORKGWe completely describe the higher secant dimensions of all connected homogeneous projective varieties of dimension at most 3, in all possible equivariant embeddings. In particular, we calculate these dimensions for all Segre-Veronese embeddings of P1 × P1, P1 × P1 × P1, and P2 × P1, as well as for the variety F of incident point-line pairs in P2. For P2 × P1 and F the results are new, while the proofs for the other two varieties are more compact than existing proofs. Our main tool is the second author’s tropical approach to secant dimensions
In this paper we consider the Segre-Veronese varieties, i.e., the embeddings of products of t projec...
Let Vn be the Segre embedding of P1 x ... x P1 (n times). We prove that the higher secant varieties ...
We prove a conjecture stated by Catalisano, Geramita, and Gimigliano in 2002, which claims that the ...
We completely describe the higher secant dimensions of all connected homogeneous projective varietie...
We completely describe the higher secant dimensions of all connected homogeneous projective varietie...
Tropical geometry yields good lower bounds, in terms of certain combinatorial–polyhedral optimisatio...
Let Vt=P1x \u2026 x P1 be the product of t copies of the 1-dimensional projective space P1, embedded...
We determine for all values of (a,b,c), the dimension of the secant varieties of the (a,b,c)-embeddi...
In this paper we compute the dimension of all the s-th higher secant varieties of the Segre-Veronese...
AbstractTropical geometry yields good lower bounds, in terms of certain combinatorial–polyhedral opt...
Let Vn be the Segre embedding of P1×· · ·×P1 (n times). We prove that the higher secant varieties σs...
Let X(1,d) denote the Segre-Veronese embedding of Pn x Pm via the sections of the sheaf O(1, d). We ...
Abstract. We use a double degeneration technique to calculate the dimension of the secant variety of...
In this paper we consider the Segre-Veronese varieties, i.e., the embeddings of products of t projec...
Let Vn be the Segre embedding of P1 x ... x P1 (n times). We prove that the higher secant varieties ...
We prove a conjecture stated by Catalisano, Geramita, and Gimigliano in 2002, which claims that the ...
We completely describe the higher secant dimensions of all connected homogeneous projective varietie...
We completely describe the higher secant dimensions of all connected homogeneous projective varietie...
Tropical geometry yields good lower bounds, in terms of certain combinatorial–polyhedral optimisatio...
Let Vt=P1x \u2026 x P1 be the product of t copies of the 1-dimensional projective space P1, embedded...
We determine for all values of (a,b,c), the dimension of the secant varieties of the (a,b,c)-embeddi...
In this paper we compute the dimension of all the s-th higher secant varieties of the Segre-Veronese...
AbstractTropical geometry yields good lower bounds, in terms of certain combinatorial–polyhedral opt...
Let Vn be the Segre embedding of P1×· · ·×P1 (n times). We prove that the higher secant varieties σs...
Let X(1,d) denote the Segre-Veronese embedding of Pn x Pm via the sections of the sheaf O(1, d). We ...
Abstract. We use a double degeneration technique to calculate the dimension of the secant variety of...
In this paper we consider the Segre-Veronese varieties, i.e., the embeddings of products of t projec...
Let Vn be the Segre embedding of P1 x ... x P1 (n times). We prove that the higher secant varieties ...
We prove a conjecture stated by Catalisano, Geramita, and Gimigliano in 2002, which claims that the ...