On the sagenb github site (https://github.com/sagemath/sagenb/issues/402):


Hi there,

I tried to verify with Sage that P^2 is projective. Unfortunately, Sage 
replied with 'false'. Here is what I tried:

P2=toric_varieties.P2();
P2.is_projective()

The last line returned 'false'. The same happens for e.g. P1xP1.

[I am running SageMath version 7.2, Release Date: 2016-05-15]

Is this a bug? Thank you!

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