The Frölicher Spectral Sequence of Certain Solvmanifolds

Degeneration of the Leray Spectral Sequence for Certain Geometric Quotients

We prove that the Leray spectral sequence in rational cohomology for the quotient map Un,d → Un,d/G where Un,d is the affine variety of equations for smooth hypersurfaces of degree d in P(C) and G is the general linear group, degenerates at E2. 2000 Math. Subj. Class. 14D20, 14L35, 14J70.

2 00 1 Degeneration of the Leray spectral sequence for certain geometric quotients

We prove that the Leray spectral sequence in rational cohomology for the quotient map U n,d → U n,d /G where U n,d is the affine variety of equations for smooth hypersurfaces of degree d in P n (C) and G is the general linear group, degenerates at E 2 .

2 5 Ja n 20 02 Degeneration of the Leray spectral sequence for certain geometric quotients

We prove that the Leray spectral sequence in rational cohomology for the quotient map U n,d → U n,d /G where U n,d is the affine variety of equations for smooth hypersurfaces of degree d in P n (C) and G is the general linear group, degenerates at E 2 .

The Chromatic Spectral Sequence

The Motivic Spectral Sequence

In this chapter we explain the Atiyah-Hirzebruch spectral sequence that relates topological K-theory to singular cohomology and try to motivate the search for a motivic version. In the time since [18] appeared, which concerns motivation for such a motivic spectral sequence, many authors have produced results in this direction. We describe the Bloch-Lichtenbaum spectral sequence [8] for the spec...