# The Canonical Ring of an Algebraic Surface

 Title: The Canonical Ring of an Algebraic Surface Author: Mumford, David Bryant Citation: Mumford, D. 1962. "The canonical ring of an algebraic surface" (Appendix to Oscar Zariski, "The theorem of Riemann- Roch for high multiples of an effective divisor on an algebraic surface"). Annals of Mathematics 76(2): 612-615. Also published as Mumford, David. 2010. "The Canonical Ring of an Algebraic Surface." In Selected papers on the classification of varieties and moduli spaces, ed. Amnon Neeman, Takahiro Shiota and Ching-Li Chai, 21-24. New York: Springer. Full Text & Related Files: Theorem_Riemann_Roch.pdf (1.114Mb; PDF) Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:13056152 Downloads of this work: