Embeddings of curves and surfaces
classification
alg-geom
math.AG
keywords
curvesembeddingssurfacesassumingcheapcohen--macaulaydeduceembedding
read the original 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.
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