Vanishing line for the descent spectral sequence

DOI10.1007/S00013-003-4626-ZzbMATH Open1032.18006arXivmath/0106144OpenAlexW2004378383MaRDI QIDQ1413634

Teimuraz Pirashvili

Publication date: 17 November 2003

Published in: Archiv der Mathematik (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/math/0106144

zbMATH Keywords

locally compact spacedescent spectral sequencesurjective proper map

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Sheaf cohomology in algebraic topology (55N30) Spectral sequences in algebraic topology (55T99)

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