Vanishing line for the descent spectral sequence

Details Vanishing line for the descent spectral sequence Vanishing line for the descent spectral sequence

2001-06-17

arxiv.org/abs/math/0106144v1

Mathematics

Algebraic Geometry

Scientific paper

For a surjective and proper map f: X -> Y there is a spectral sequence,
called descent spectral sequence, abutting to the cohomology of Y with
coefficients in a sheaf F. We prove that if the fibers of the map f satisfy
some connectivity condition then the spectral sequence has a vanishing line.

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