English

Embeddings of curves and surfaces

alg-geom 2008-02-03 v1 Algebraic Geometry

Abstract

We prove a general embedding theorem for Cohen--Macaulay curves (possibly nonreduced), and deduce a cheap proof of the standard results on pluricanonical embeddings of surfaces, assuming vanishing H^1(2K_X)=0.

Keywords

Cite

@article{arxiv.alg-geom/9607021,
  title  = {Embeddings of curves and surfaces},
  author = {F. Catanese and M. Franciosi and K. Hulek and M. Reid},
  journal= {arXiv preprint arXiv:alg-geom/9607021},
  year   = {2008}
}

Comments

LaTeX2e with packages: amstex, amssymb, theorem. 32 pp

R2 v1 2026-07-22T07:42:15.940Z