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arxiv: 1603.04978 · v3 · pith:LLC6YXFDnew · submitted 2016-03-16 · 🧮 math.AG

Very ampleness of the bicanonical line bundle on compact complex two ball quotients

classification 🧮 math.AG
keywords ballbundlecompactcomplexexceptfakefourline
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The purpose of this note is to show that $2K$ of any smooth compact complex two ball quotient is very ample, except possibly for four pairs of fake projective planes of minimal type, where $K$ is the canonical line bundle. For the four pairs of fake projective planes, sections of $2K_M$ give an embedding of $M$ except possibly for at most two points on $M$.

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