Displaying similar documents to “On the weight filtration of the homology of algebraic varieties : the generalized Leray cycles”

A Poincaré duality type theorem for polyhedra

Gerald Leonard Gordon (1972)

Annales de l'institut Fourier

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If X is a n -dim polyhedran, then using geometric techniques, we construct groups H p ( X ) Δ and H p ( X ) Δ such that there are natural isomorphisms H p ( X ) Δ ≃ H n - p ( X ) and H p ( X ) Δ ≃ H n - p ( X ) which induce an intersection pairing. These groups give a geometric interpretation of two spectral sequences studied by Zeeman and allow us to prove a conjecture of Zeeman about them.

Correspondence homomorphisms for singular varieties

Eric M. Friedlander, Barry Mazur (1994)

Annales de l'institut Fourier

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We study certain kinds of geometric correspondences between (possibly singular) algebraic varieties and we obtain comparison results regarding natural filtrations on the homology of varieties.