An Equivalence

Algebraic Geometry
Post Reply
Tsakanikas Nickos
Community Team
Posts: 314
Joined: Tue Nov 10, 2015 8:25 pm

An Equivalence

#1

Post by Tsakanikas Nickos »

Let $X$ be a non-singular, projective curve over an algebraically closed field $k$ of genus $g=0$, and let $D$ be a divisor on $X$. Show that the following are equivalent
  1. $D$ is ample.
  2. $D$ is very ample.
  3. $\deg(D) >0$.
Post Reply

Create an account or sign in to join the discussion

You need to be a member in order to post a reply

Create an account

Not a member? register to join our community
Members can start their own topics & subscribe to topics
It’s free and only takes a minute

Register

Sign in

Who is online

Users browsing this forum: No registered users and 9 guests