Classifying One-dimensional Algebraic Groups

In this post, we classify one-dimensional algebraic groups over an algebraically closed field. This post was later extended in this one.

Weird Example: Pullback of Very Ample by finite is not Very Ample

In this post we give a counterexample to the claim that the pullback of a very ample sheaf under a finite map is very ample, and prove that the result is true with ‘very ample’ replaced by ‘ample’.