Please confront the under questions and let me understand if anyone can clear-up it. I am attaching the textbook for your relation.
Value of a =6, b=2
Let axyz - ay^3 +xz^2 =bw^3 be a homogenous polynomial in P3(x,y,z,w), describing an algebraic multiformity V in P3.
1. Show the object of V in affine patches Ux, Uy, Uz, Uw. when x=1,y=1, z=1, w=1.
2. What is the configuration of V?
3. Is V an discordant multiformity?
4. Confront all individual points.
5. Give the mental of V. Is it perfect? Is your multiformity discordant? Describe the melody k(V) = O(V) of polynomials (certain functions) on V.
6. Calculate inflexion at (at smallest two) soften points.
7. Describe the symmetries of your demeanor V. Is it terminable or unstinted?
8. Can you confront a succession on your demeanor?
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