Timeline for Is there a general geometric characterization for polynomials to be linearly dependent?

9 events

when toggle format	what		by	license	comment
May 28, 2019 at 7:15	vote	accept	Malkoun
May 26, 2019 at 14:07	answer	added	Malkoun		timeline score: 1
May 26, 2019 at 8:38	history	edited	Malkoun	CC BY-SA 4.0	added 424 characters in body
May 25, 2019 at 20:16	comment	added	Malkoun		I should have made this more precise. By a polynomial of degree $d$ depending on $z \in L$, I mean a holomorphic section of the line bundle $\mathcal{O}(d)$ over $L$, which is a $P^1(\mathbb{C})$. Strictly speaking, knowing the roots only determines the polynomial up to scaling. When I talk about linear dependence, I mean as elements of the vector space $H^0(L, \mathcal{O}(d))$, where each element is up to scaling, thus as elements of the projectivization of that vector space.
May 25, 2019 at 20:07	comment	added	LSpice		When you speak of linear dependence of polynomials depending on $z \in L$, do you mean only that they are linearly independent as functions $L \to \mathbb C$?
May 25, 2019 at 19:07	history	edited	Malkoun	CC BY-SA 4.0	deleted 299 characters in body
May 25, 2019 at 14:05	history	edited	Malkoun	CC BY-SA 4.0	added 777 characters in body
May 24, 2019 at 9:57	history	edited	Malkoun	CC BY-SA 4.0	added 63 characters in body
May 24, 2019 at 9:50	history	asked	Malkoun	CC BY-SA 4.0