MathOverflow is a question and answer site for professional mathematicians. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Please I am looking for a reference on Riemann-Roch theorem for 1-dimensional schemes (and not necessarily varieties) if there is any.

Thank you

share|cite|improve this question
Maybe you should precise what you want to be called Riemann-Roch in this context : for example, is it about divisors or line bundles ? (different things on a singular curve) – user25309 Mar 15 '13 at 17:32
Are your schemes over a field or do you want a Riemann-Roch for $Spec(\mathbb{Z})$ and its finite covers? – Felipe Voloch Jul 3 '13 at 7:49

You may find this paper of Hartshorne to be helpful.

share|cite|improve this answer
Thank you for the reference. – user16974 Mar 15 '13 at 18:00

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.