specifically in algebraic geometry and algebraic topology, the Lefschetz hyperplane theorem is a precise statement of certain relations between the shape...

⌋ ) . {\displaystyle {\mathcal {O}}(\lfloor D\rfloor ).} The Lefschetz hyperplane theorem implies that for a smooth complex projective variety X of dimension...

Lefschetz pencil of hyperplane sections is a more subtle system than a Morse function because hyperplanes intersect each other). The Picard–Lefschetz...

such as the Lefschetz hyperplane theorem, the hard Lefschetz theorem, the Hodge-Riemann bilinear relations, and the Hodge index theorem. They are also...

collectively as Bertini's theorem. The topology of hyperplane sections is studied in the topic of the Lefschetz hyperplane theorem and its refinements. Because...

and MacPherson. The first case of the decomposition theorem arises via the hard Lefschetz theorem which gives isomorphisms, for a smooth proper map f...

theorem (topology) Lefschetz hyperplane theorem (algebraic topology) Lefschetz theorem on (1,1)-classes (algebraic geometry) Lehmann–Scheffé theorem (statistics)...

Nakano vanishing theorems, the Lefschetz hyperplane theorem, Hard Lefschetz theorem, Hodge-Riemann bilinear relations, and Hodge index theorem. On a Riemannian...

non-singular projective surface, and let H be the divisor class on V of a hyperplane section of V in a given projective embedding. Then the intersection H...

inverse Parallelizable manifold Thom's and Bott's proofs of the Lefschetz hyperplane theorem Atiyah, Michael (2007). "Raoul Harry Bott. 24 September 1923...