Pluricanonical systems on surfaces with small K²
classification
🧮 math.AG
keywords
surfacenumericalbasebicanonicalcampedelliclusterscomponentscontracted
read the original abstract
We prove that the bicanonical system on a surface of general type with K^2=4 has no base components and describe clusters contracted by 4K_X for a numerical Godeaux surface and 3K_X for a numerical Campedelli surface.
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