Degeneration of the Leray spectral sequence for certain geometric quotients

Details Degeneration of the Leray spectral sequence for certain geometric quotients Degeneration of the Leray spectral sequence for certain geometric quotients

2001-12-10

arxiv.org/abs/math/0112093v2

Moscow Mathematical Journal Vol. 3 Number 3, July-September 2003, Pages 1085-1095

Mathematics

Algebraic Geometry

14 pages revised some typos

Scientific paper

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 $\PP^n(\C)$ and $G$ is the
general linear group, degenerates at $E_2$.

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