This article is cited in 17 papers

Degeneration of the Leray spectral sequence for certain geometric quotients

C. A. M. Peters^a, J. H. M. Steenbrink<sup>b

a</sup> University of Grenoble 1 — Joseph Fourier
^b Radboud University Nijmegen

Abstract: We prove that the Leray spectral sequence in rational cohomology for the quotient map $U_{n,d}\to U_{n,d}/G$ where $U_{n,d}$ is the affine variety of equations for smooth hypersurfaces of degree $d$ in $\mathbb P^n(\mathbb C)$ and $G$ is the general linear group, degenerates at $E_2$.

Key words and phrases: Geometric quotient, hypersurfaces, Leray spectral sequence.

MSC: 14D20, 14L35, 14J70

Received: December 10, 2002

Language: English

DOI: 10.17323/1609-4514-2003-3-3-1085-1095

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