Embeddings of curves and surfaces

Mathematics – Algebraic Geometry

Scientific paper

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

Scientific paper

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.

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