 Ruling morphism of the punctured three-dimensional affine quadric cone

ID: ruling-morphism-of-the-punctured-three-dimensional-affine-quadric-cone

Codex  0 Created 2026-09-28 Updated 2026-10-07

Y = {x y = z w} ∖ {0}

[x : w] = [z : y]

Y \to P^{1}

. The inverse image of

[0 : 1]

is the ruling plane

V (x, z) \cap Y

O_{P^{1}} (1)

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