Algebraic geometry singular surface

Find the singular points in P3 P 3 of the Steiner surface. ∂f ∂X0 = −X1X2X3, ∂ f ∂ X 0 = − X 1 X 2 X 3, Jun 5, 2021 · $\begingroup$ A maybe obvious remark: given an elliptic K3 surface with 24 nodal singular fibers and without section, the corresponding Jacobian surface is a different elliptic K3 surface with section and with 24 nodal singularities at the same 24 points

2024-03-28
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  1. , Mumford's Red Book, III-4, Corollary 2
  2. algebraic dimension is one
  3. En route useful things to learn: geometry of surfaces
  4. Quadrics are fundamental examples in algebraic geometry
  5. The t = 0 fibre is the pair of lines y1 = ± x1 1 Answer
  6. The two families of lines on a smooth (split) quadric surface