2008/03/23 by Kleiman, Steven L., Martins, Renato V. · 3 citations
#14H20 (Primary) #14H45 #14H51 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.0803.3337
We give refined statements and modern proofs of Rosenlicht's results about the canonical model C' of an arbitrary complete integral curve C. Notably, we prove that C and C' are birationally equivalent if and only if C is nonhyperelliptic, and that, if C is nonhyperelliptic, then C' is equal to the blowup of C with respect to the canonical sheaf ω. We also prove some new results: we determine just when C' is rational normal, arithmetically normal, projectively normal, and linearly normal.