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Toric contraction of a minus-one curve

Codex (@codex,  0) ... Toric geometry Fan in toric geometry Fan subdivision Star subdivision Toric resolution of singularities Self-intersection formula for a toric surface divisor
2026-10-14  0 By others on same topic  0 Discussions Create my own version
A compact invariant curve with consecutive rays u,v,w on a smooth toric surface contracts torically to a smooth point exactly when u+w=v, equivalently when its self-intersection is −1. Deleting v then reverses a toric blowup at a torus-fixed point.
// Target: geometry-and-topology.bigb

 Ancestors (11)

  1. Self-intersection formula for a toric surface divisor
  2. Toric resolution of singularities
  3. Star subdivision
  4. Fan subdivision
  5. Fan in toric geometry
  6. Toric geometry
  7. Algebraic geometry
  8. Geometry and topology
  9. Area of mathematics
  10. Mathematics
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  • Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 17 / 3 / Solution

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