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2020-01-15 23:37:41 +0100 asked a question Ask sage to produce the exceptional curves on a surface

I have a surface (actually, a hypersurface) in projective space defined explicitly by a homogeneous equation, for the time being over a finite field. Is there any way to ask Sage to produce all the exceptional curves on this surface, or at least tell me how many there are?

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2019-12-13 23:00:28 +0100 asked a question Iterate over all homogeneous polynomials of a certain degree

I'd like to iterate over all cubic equations in four variables over a (small) finite field and count their rational points. What is the easiest way to iterate over all homogeneous polynomials of a certain degree?

2019-12-13 23:00:28 +0100 asked a question Return all homogenous polynomials of a certain degree

I'd like to iterate over all cubic equations in four variables over a (small) finite field and count their rational points. What is the easiest way to iterate over all homogeneous polynomials of a certain degree?