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6 – Proj | PModChecker 1/2


Let DS be an ample class.

If D2=2 and there does not exist a class FS such that
F2=0 and FD=1, then φD:XP2 is a double cover.


If D2=4 and there does not exist a class FS such that
F2=0 and FD{1,2} then φD:XP3 embeds X as a quartic surface.