= Lefschetz hyperplane theorem
{wiki=Lefschetz_hyperplane_theorem}
The Lefschetz hyperplane theorem is a fundamental result in algebraic geometry and topology that relates the topology of a projective variety to that of its hyperplane sections. Specifically, it provides information about the cohomology groups of a projective variety and its hyperplane sections. To state the theorem more formally: Let \\(X\\) be a smooth projective variety of dimension \\(n\\) defined over an algebraically closed field.
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