Lefschetz hyperplane theorem

Summary

• In mathematics, the Lefschetz hyperplane theorem states that a hyperplane section W of a non-singular complex algebraic variety V, in complex projective space, inherits most of its algebraic topology from V. This allows certain geometrical questions to be investigated by induction on dimension.

Similar Topics

• Lefschetz fixed-point theorem
• Lefschetz pencil
• Hyperplane section
• Metrization theorem
• S-m-n theorem
• Mean value theorem
• Lagrange's theorem
• Hyperplane
• No hair theorem
• PCP Theorem

Related Topics

• Algebraic topology
• Algebraic variety
• Complex projective space
• Hyperplane section
• Projective space
• To Be

  * This page is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Lefschetz hyperplane theorem".