On the weight filtration of the homology of algebraic varieties : the generalized Leray cycles
Fouad Elzein, András Némethi (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Let be a normal crossing divisor in the smooth complex projective algebraic variety and let be a tubular neighbourhood of in . Using geometrical properties of different intersections of the irreducible components of , and of the embedding , we provide the “normal forms” of a set of geometrical cycles which generate , where is one of the following pairs , , , and . The construction is compatible with the weights in of Deligne’s mixed Hodge structure. The main technical...