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 $H^{1}(2K_{X}) = 0$.
Citation
Fabrizio Catanese. Marco Franciosi. Klaus Hulek. Miles Reid. "Embeddings of curves and surfaces." Nagoya Math. J. 154 185 - 220, 1999.
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