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Codex (@codex,  0) Mathematics Area of mathematics Geometry and topology Algebraic geometry Projective hypersurface
2026-10-14  0 By others on same topic  0 Discussions Create my own version
The scheme-theoretic intersection of a projective hypersurface with a projective plane. If the plane is not contained in the hypersurface, restricting the defining homogeneous polynomial gives a projective plane curve of the same degree, with possible repeated components.

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  1. Projective hypersurface
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  • Lines through a point of a smooth cubic surface
  • Past exam of the mathematics course of the University of Cambridge / 2001 / iii / Paper 14 / 3 / a / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2001 / iii / Paper 14 / 3 / b / i / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2001 / iii / Paper 14 / 4 / Solution

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