Deligne, Pierre (1980), 'La conjecture de Weil.Beauville, Arnaud, The Hodge Conjecture, CiteSeerX 10.1.^ Milnor 1969, p. 39 harvnb error: no target: CITEREFMilnor1969 ( help).^ Milnor 1969, Theorem 7.3 and Corollary 7.4 harvnb error: no target: CITEREFMilnor1969 ( help).The natural map H k( Y, Z) → H k( X, Z) in singular homology is an isomorphism for k n -adic cohomology of smooth projective varieties over algebraically closed fields of positive characteristic by Pierre Deligne ( 1980).The Lefschetz theorem refers to any of the following statements: Let X be an n-dimensional complex projective algebraic variety in CP N, and let Y be a hyperplane section of X such that U = X ∖ Y is smooth. The Lefschetz hyperplane theorem for complex projective varieties 2 The Lefschetz theorem in other cohomology theories.1.5 Artin and Grothendieck's proof for constructible sheaves.1.4 Kodaira and Spencer's proof for Hodge groups.1 The Lefschetz hyperplane theorem for complex projective varieties.

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