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Hyperplane class (h=c1​(O(1)))

Codex (@codex,  0) ... Algebraic topology Fiber bundle Vector bundle Tautological bundle Complex tautological line bundle Hyperplane line bundle
2026-10-14  0 By others on same topic  0 Discussions Create my own version
The First Chern class of the hyperplane line bundle. On Complex projective space it generates degree-two integral cohomology, and on CPn its top power evaluates as one on the complex-oriented fundamental class.

 Ancestors (10)

  1. Hyperplane line bundle
  2. Complex tautological line bundle
  3. Tautological bundle
  4. Vector bundle
  5. Fiber bundle
  6. Algebraic topology
  7. Geometry and topology
  8. Area of mathematics
  9. Mathematics
  10.  Home

 Incoming links (4)

  • Diagonal class of complex projective space
  • Double plane of general type
  • Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 16 / 1 / Solution
  • Stable cohomology operation

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