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Results tagged with projective-geometry
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user 88133
1
vote
Accepted
Rank of matrices and secant varieties
Your question is:
Let $S \subset \mathbb{P}^N$ be the image of the Segre map
$\mathbb{P}^n \times \mathbb{P}^n \to \mathbb{P}^N$.
Let $Z \in \operatorname{Sec}_k(S)$. Does $Z$ have rank at mos …
- 6,237
4
votes
Accepted
Configuration of points on a plane curve
A set of points in the plane is called a star configuration of type $\ell$ if it is the set of pairwise intersections of some $\ell$ lines, no three concurrent. If the lines are defined by $L_1,\dotsc …
- 6,237
8
votes
Accepted
Linear spaces secant to Veronese varieties
Here is an answer in terms of power sum decompositions of polynomials. A point $p \in \mathbb{P}^9$ corresponds to a homogeneous polynomial $P$ of degree $3$ in $3$ variable, defining a plane cubic. P …
- 6,237