English

Vanishing line for the descent spectral sequence

Algebraic Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0106144,
  title  = {Vanishing line for the descent spectral sequence},
  author = {Teimuraz Pirashvili},
  journal= {arXiv preprint arXiv:math/0106144},
  year   = {2007}
}