# irreducible components of the projective variety

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• March 4th 2009, 05:50 PM
KaKa
irreducible components of the projective variety
Describe the irreducible components of the projective variety

$X=${ $[x_0,x_1,x_2,x_3]:x_0x_1-x_2x_3=x_0x_2-x_1x_3=0$} $\subset \mathbb{P}^3(k)$.

(Hint:You may find it easier to work first in the distinguished affine neighborhoods.)