Schemes 42: Very ample sheaves
Channel: Richard E Borcherds
Date: 2020-08-08

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne.

We define ample and very ample invertible sheaves for projective varieties, 
and gives some examples for complex elliptic curves. 
We also show that some sections of an invertible sheaf define a closed immersion to projective space provided they generate the sheaf, separate points, and separate tangent vectors.